8:_:20=_:3:5
You asked:
Solve \(8 : ? : 20=? : 3 : 5\) for the variable \(?\).
MathBot Answer:
$$\begin{aligned}? &= 2\\? &= 12\end{aligned}$$
Match each term of the ratio on the left-hand side with its corresponding term on the right-hand side and express as fractions. \[\frac{8}{?} = \frac{?}{3} = \frac{20}{5}\]\[\frac{8}{?} = \frac{?}{3} = 4\]
Solve for the unknown using cross-multiplication. $$\begin{aligned}\frac{8}{?} &= 4 \\ 8 &= 4 ? \\ ? &= 2 \end{aligned}$$$$\begin{aligned}\frac{?}{3} &= 4 \\ ? &= 12 \\ ? &= 12 \end{aligned}$$