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Finding the Third Proportional to 42,471 and 62,410.50

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Solution

The third proportional to 42,471 and 62,410.50 is: 91,711.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,471 : 62,410.50 = 62,410.50 : x
  2. Step 2: Convert to fraction form
    42,471/62,410.50 = 62,410.50/x
  3. Step 3: Cross multiply
    42,471x = 62,410.50 × 62,410.50
  4. Step 4: Simplify right side
    42,471x = 3,895,070,510.25
  5. Step 5: Solve for x
    x = 3,895,070,510.25/42,471
  6. Step 6: Final answer
    x = 91,711.30

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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.