Question

Use equivalent ratios to solve the proportion.

$\frac{a}{12}=\frac{33}{36}$

Short answer

The solution is $a=11$.

Step-by-step solution

Step 1.  Given

The given proportion is$\frac{a}{12}=\frac{33}{36}$.

Step 2.  To determine

We have to solve the proportion using equivalent ratios.

Step 3.  Calculation 

Solve the given proportion.

$\begin{array}{c}\frac{a}{12}=\frac{33}{36}\\ \frac{a}{12\times 3}=\frac{33}{36}\left[\text{comparedenominators}\right]\\ \frac{a\times 3}{36}=\frac{33}{36}\left[\text{find}a\right]\\ 3a=33\\ 3a÷3=33÷3\left[\text{divideeachby3}\right]\\ a=11\end{array}$

So, the solution is $a=11$.