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I see your worksheet on proportions. Let me analyze a few problems from it to verify your work. If you'd like me to check or explain any specific ones, feel free to ask. I will now go through some examples step-by-step:

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### Example 1:  
**Problem 1: \( \frac{28}{n} = \frac{7}{9} \)**  
- Cross-multiply: \( 28 \times 9 = 7 \times n \)
- \( 252 = 7n \)
- Divide by 7: \( n = \frac{252}{7} = 36 \)

**Answer:** \( n = 36 \)  
Your solution looks correct!

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### Example 2:  
**Problem 3: \( \frac{2}{3} = \frac{x}{2} \)**  
- Cross-multiply: \( 2 \times 2 = 3 \times x \)
- \( 4 = 3x \)
- Divide by 3: \( x = \frac{4}{3} \) or approximately 1.33

**Answer:** \( x = \frac{4}{3} \) or 1.33  
It seems your answer is correct here as well.

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### Example 3:  
**Problem 7: \( \frac{5}{8} = \frac{15}{n} \)**  
- Cross-multiply: \( 5 \times n = 8 \times 15 \)
- \( 5n = 120 \)
- Divide by 5: \( n = \frac{120}{5} = 24 \)

**Answer:** \( n = 24 \)  
Your answer here is correct.

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### Example 4:  
**Problem 14: \( \frac{9}{15} = \frac{45}{n} \)**  
- Cross-multiply: \( 9 \times n = 15 \times 45 \)
- \( 9n = 675 \)
- Divide by 9: \( n = \frac{675}{9} = 75 \)

**Answer:** \( n = 75 \)  
Your written note states, “the values are the same,” but the correct solution for \( n \) is actually 75.

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### Example 5:  
**Problem 18: \( \frac{42}{7} = \frac{n}{2} \)**  
- Cross-multiply: \( 42 \times 2 = 7 \times n \)
- \( 84 = 7n \)
- Divide by 7: \( n = \frac{84}{7} = 12 \)

**Answer:** \( n = 12 \)  
Your answer appears correct.

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Would you like me to go over any other problem more specifically or help with any step? Below are some follow-up questions related to this topic.

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### 5 Related Questions:
1. How do you determine when two ratios form a proportion?
2. What are some strategies to simplify ratios before solving proportions?
3. Can all proportions be solved using cross-multiplication? Why or why not?
4. How do proportions apply to problems involving percentages?
5. What is the difference between a proportion and a ratio?

**Tip:** Always check whether you can simplify the given ratios before solving the proportion. This can reduce the amount of calculation required.

Learn how to solve proportions by applying the cross multiplication method. This worksheet covers key concepts such as ratios, proportions, and practical steps to find unknown values in equivalent ratios. Suitable for students in Grades 7-9.

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