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Finding the Third Proportional to 47,624 and 70,872

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Solution

The third proportional to 47,624 and 70,872 is: 105,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,624 : 70,872 = 70,872 : x
  2. Step 2: Convert to fraction form
    47,624/70,872 = 70,872/x
  3. Step 3: Cross multiply
    47,624x = 70,872 × 70,872
  4. Step 4: Simplify right side
    47,624x = 5,022,840,384
  5. Step 5: Solve for x
    x = 5,022,840,384/47,624
  6. Step 6: Final answer
    x = 105,468.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.