https://file.aiquickdraw.com/mathbot/file/1729203774336ql79o2yh.jpg

The problem given in the image is:

\[
\frac{14}{5} = \frac{z}{25}
\]

We need to solve for \( z \).

### Steps:

1. **Cross-multiply** to eliminate the fractions:
   \[
   14 \times 25 = 5 \times z
   \]
   This simplifies to:
   \[
   350 = 5z
   \]

2. **Solve for \( z \)** by dividing both sides by 5:
   \[
   z = \frac{350}{5} = 70
   \]

Thus, the value of \( z \) is **70**.

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Would you like further details or have any questions?

### Related questions:
1. How do you solve proportions like this in other cases?
2. What are cross-multiplication rules for solving equations?
3. Can this method be used for more complex ratios?
4. What is the difference between solving proportions and linear equations?
5. How do you check if your answer is correct in proportional equations?

**Tip**: Cross-multiplication is a quick and reliable method to solve equations involving fractions!

Learn how to solve the proportion 14/5 = z/25 using cross-multiplication. This example walks through the steps to find the value of z. Suitable for middle school students in Grades 6-8.

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