Find the number that makes the ratio equivalent to 

3:1

.

36:





We are given the ratio \(3:1\) and need to find the number that makes the ratio equivalent to \(36 : x\).

To solve this, we can set up a proportion:

\[
\frac{3}{1} = \frac{36}{x}
\]

Now, cross-multiply:

\[
3 \cdot x = 1 \cdot 36
\]

This simplifies to:

\[
3x = 36
\]

Now, divide both sides by 3:

\[
x = \frac{36}{3} = 12
\]

So, the number \(x\) that makes the ratio equivalent is **12**.

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. How do you simplify a ratio?
2. What is the process for solving a proportion?
3. Can you apply the same method to solve \(5:2\) and \(50:x\)?
4. How would you solve if the ratio was reversed, such as \(1:3\)?
5. What real-world scenarios involve equivalent ratios?

**Tip:** When solving proportions, always ensure the ratios are written in the same order for consistency.

Find the number that makes the ratio equivalent to 3:1 and 36:x.

Discover how to find the missing number in the ratio 3:1 that makes it equivalent to 36:x. This problem covers key concepts in ratios and proportions, using cross-multiplication to find the solution. Suitable for students in Grades 6-8.

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