Question

Use equivalent ratios to solve the proportion.

$\frac{b}{18}=\frac{5}{9}$

Short answer

The solution of proportion $\frac{b}{18}=\frac{5}{9}$is $b=10$.

Step-by-step solution

Step 1. Given Information.

The proportion is $\frac{b}{18}=\frac{5}{9}$.

Step 2. Calculation.

Therefore, the proportion is

$\begin{array}{c}\frac{b}{18}=\frac{5}{9}\\ 9\cdot b=18\cdot 5\left[\text{crossproduct}\right]\\ 9b=90\left[\text{multiply}\right]\\ b=\frac{90}{9}\left[\text{crossproduct}\right]\\ b=10\left[\text{divide}\right]\end{array}$

Step 3. Conclusion.

The solution of proportion $\frac{b}{18}=\frac{5}{9}$is $b=10$.