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Finding the Third Proportional to 42,471 and 63,813

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Solution

The third proportional to 42,471 and 63,813 is: 95,879.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,471 : 63,813 = 63,813 : x
  2. Step 2: Convert to fraction form
    42,471/63,813 = 63,813/x
  3. Step 3: Cross multiply
    42,471x = 63,813 × 63,813
  4. Step 4: Simplify right side
    42,471x = 4,072,098,969
  5. Step 5: Solve for x
    x = 4,072,098,969/42,471
  6. Step 6: Final answer
    x = 95,879.52

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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.