Finding the Third Proportional to 16,542 and 23,139
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Solution
The third proportional to 16,542 and 23,139 is: 32,366.90
Step by Step Solution
- Step 1: Write the proportion equation
16,542 : 23,139 = 23,139 : x - Step 2: Convert to fraction form
16,542/23,139 = 23,139/x - Step 3: Cross multiply
16,542x = 23,139 × 23,139 - Step 4: Simplify right side
16,542x = 535,413,321 - Step 5: Solve for x
x = 535,413,321/16,542 - Step 6: Final answer
x = 32,366.90
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.