$5:3::12:X$
You asked:
Solve \(5 : 3=12 : X\) for the variable \(X\).
MathBot Answer:
$$\begin{aligned}X &= \frac{36}{5}\end{aligned}$$
Express both ratios as fractions. \[\frac{5}{3} = \frac{12}{X}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{5}{3} &= \frac{12}{X} \\ 5 X &= 36 \\ X &&= \frac{36}{5} \end{aligned}$$