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Finding the Third Proportional to 11,737 and 24,448

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Solution

The third proportional to 11,737 and 24,448 is: 50,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737 : 24,448 = 24,448 : x
  2. Step 2: Convert to fraction form
    11,737/24,448 = 24,448/x
  3. Step 3: Cross multiply
    11,737x = 24,448 × 24,448
  4. Step 4: Simplify right side
    11,737x = 597,704,704
  5. Step 5: Solve for x
    x = 597,704,704/11,737
  6. Step 6: Final answer
    x = 50,924.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.