Question

Use algebra to solve the proportion.

$\frac{2}{5}=\frac{x}{25}$

Short answer

The solution is $x=10$.

Step-by-step solution

Step-1 – Given

The given proportion is $\frac{2}{5}=\frac{x}{25}$.

Step-2 – To determine

We have to solve the proportion by using algebra.

Step-3 – Calculation 

Solve the given proportion.

$\begin{array}{c}\frac{2}{5}=\frac{x}{25}\\ \frac{2}{5}\cdot 25=\frac{x}{25}\cdot 25\left[\text{multiplyeachsideby25}\right]\\ \frac{50}{5}=x\left[\text{simplify}\right]\\ x=10\left[\text{divide}\right]\end{array}$

So, the solution is $x=10$.