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Finding the Third Proportional to 44,624 and 71,747

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Solution

The third proportional to 44,624 and 71,747 is: 115,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,624 : 71,747 = 71,747 : x
  2. Step 2: Convert to fraction form
    44,624/71,747 = 71,747/x
  3. Step 3: Cross multiply
    44,624x = 71,747 × 71,747
  4. Step 4: Simplify right side
    44,624x = 5,147,632,009
  5. Step 5: Solve for x
    x = 5,147,632,009/44,624
  6. Step 6: Final answer
    x = 115,355.68

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.