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Finding the Third Proportional to 16,344 and 24,449

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Solution

The third proportional to 16,344 and 24,449 is: 36,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344 : 24,449 = 24,449 : x
  2. Step 2: Convert to fraction form
    16,344/24,449 = 24,449/x
  3. Step 3: Cross multiply
    16,344x = 24,449 × 24,449
  4. Step 4: Simplify right side
    16,344x = 597,753,601
  5. Step 5: Solve for x
    x = 597,753,601/16,344
  6. Step 6: Final answer
    x = 36,573.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.