To find the proportion between two numbers, you need to compare them in the form of a ratio. A proportion is an equation that expresses the equality of two ratios. Here's how you can find the proportion:

Step-by-Step Process:

1. Write the ratio: You express the two numbers as a ratio. If the numbers are $a$ and $b$, the ratio is written as $\frac{a}{b}$.

2. Set up a proportion: If you have a second set of numbers $c$ and $d$ that are being compared to $a$ and $b$, you can set up a proportion:
   $\frac{a}{b} = \frac{c}{d}$ This means that the ratio of $a$ to $b$ is equal to the ratio of $c$ to $d$.

3. Solve for the unknown: If one of the numbers is unknown, you can solve for it by cross-multiplying. For example, if you're solving for $c$ in the proportion: $\frac{a}{b} = \frac{c}{d}$ You can cross-multiply to get: $a \cdot d = b \cdot c$ Then, solve for $c$: $c = \frac{a \cdot d}{b}$

Example:

Let's say you want to find the proportion between 4 and 6, and you're comparing it to a second ratio where one number is unknown:
$\frac{4}{6} = \frac{x}{12}$ Cross-multiply to find $x$: $4 \cdot 12 = 6 \cdot x$ $48 = 6x$ $x = \frac{48}{6} = 8$ So, the value of $x$ is 8.

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Additional Questions:

1. How do proportions apply in real-world scenarios (e.g., scaling, recipes)?
2. Can proportions be used to solve word problems in algebra?
3. What happens if the two ratios are not equal? How do you find their relationship?
4. How do you handle proportions with fractions?
5. What is the difference between a ratio and a proportion?

Tip:

When working with proportions, always check for consistency by cross-multiplying. This ensures that your proportions are correct!