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Finding the Third Proportional to 24,978 and 52,744

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Solution

The third proportional to 24,978 and 52,744 is: 111,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978 : 52,744 = 52,744 : x
  2. Step 2: Convert to fraction form
    24,978/52,744 = 52,744/x
  3. Step 3: Cross multiply
    24,978x = 52,744 × 52,744
  4. Step 4: Simplify right side
    24,978x = 2,781,929,536
  5. Step 5: Solve for x
    x = 2,781,929,536/24,978
  6. Step 6: Final answer
    x = 111,375.19

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.