Finding the Third Proportional to 42,422 and 63,729
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Solution
The third proportional to 42,422 and 63,729 is: 95,737.72
Step by Step Solution
- Step 1: Write the proportion equation
42,422 : 63,729 = 63,729 : x - Step 2: Convert to fraction form
42,422/63,729 = 63,729/x - Step 3: Cross multiply
42,422x = 63,729 × 63,729 - Step 4: Simplify right side
42,422x = 4,061,385,441 - Step 5: Solve for x
x = 4,061,385,441/42,422 - Step 6: Final answer
x = 95,737.72
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.