Question

Use equivalent ratios to solve the proportion.

$\frac{5}{6}=\frac{x}{30}$

Short answer

The solution is $x=25$.

Step-by-step solution

Step 1.  Given

The given proportion is$\frac{5}{6}=\frac{x}{30}$.

Step 2.  To determine

We have to solve the proportion using equivalent ratios.

Step 3.  Calculation 

Solve the given proportion.

$\begin{array}{c}\frac{5}{6}=\frac{x}{30}\\ \frac{5}{6\times 5}=\frac{x}{30}\left[\text{comparedenominators}\right]\\ \frac{5\times 5}{30}=\frac{x}{30}\left[\text{find}x\right]\\ x=5\times 5\\ =25\end{array}$

So, the solution is $x=25$.