Finding the Third Proportional to 27,524 and 45,538
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Solution
The third proportional to 27,524 and 45,538 is: 75,341.86
Step by Step Solution
- Step 1: Write the proportion equation
27,524 : 45,538 = 45,538 : x - Step 2: Convert to fraction form
27,524/45,538 = 45,538/x - Step 3: Cross multiply
27,524x = 45,538 × 45,538 - Step 4: Simplify right side
27,524x = 2,073,709,444 - Step 5: Solve for x
x = 2,073,709,444/27,524 - Step 6: Final answer
x = 75,341.86
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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.