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Finding the Third Proportional to 42,542 and 62,584

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Solution

The third proportional to 42,542 and 62,584 is: 92,068.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,542 : 62,584 = 62,584 : x
  2. Step 2: Convert to fraction form
    42,542/62,584 = 62,584/x
  3. Step 3: Cross multiply
    42,542x = 62,584 × 62,584
  4. Step 4: Simplify right side
    42,542x = 3,916,757,056
  5. Step 5: Solve for x
    x = 3,916,757,056/42,542
  6. Step 6: Final answer
    x = 92,068.00

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.