Question

solve for b in the proportion.
\frac{50}{20} = \frac{b}{2}

b = \square

Explanation:

Step1: Cross - multiply the proportion

To solve the proportion $\frac{50}{20}=\frac{b}{2}$, we use the cross - multiplication property of proportions. If $\frac{a}{c}=\frac{d}{e}$, then $a\times e = c\times d$. So, we have $50\times2=20\times b$.
$$50\times2 = 20b$$
$$100 = 20b$$

Step2: Solve for b

To isolate $b$, we divide both sides of the equation $100 = 20b$ by 20.
$$b=\frac{100}{20}$$
$$b = 5$$

Answer:

5