https://file.aiquickdraw.com/mathbot/file/1726694362204rgruxnur.jpg

The equation shown in the image is a proportion:

\[
\frac{5}{y} = \frac{30}{36}
\]

To solve for \( y \), we can use cross-multiplication. Here's the process:

1. Cross-multiply: 
   \[
   5 \times 36 = y \times 30
   \]

2. Simplify the multiplication:
   \[
   180 = 30y
   \]

3. Divide both sides by 30 to solve for \( y \):
   \[
   y = \frac{180}{30} = 6
   \]

Thus, \( y = 6 \).

Would you like further details or have any questions?

Here are five related questions you could explore:
1. How does cross-multiplication work in solving proportions?
2. What are some common applications of proportions in real life?
3. How do you check if a proportion is valid?
4. Can you solve similar proportions with variables on both sides?
5. What happens if one of the terms in the proportion is zero?

**Tip:** Always simplify fractions first when working with proportions to make calculations easier.

Solve for y in the proportion: 5/y = 30/36

Learn how to solve the proportion 5/y = 30/36 using the cross-multiplication method. This example walks through each step to find that y = 6. Suitable for students in Grades 6-8.

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