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Finding the Third Proportional to 16,464 and 24,839

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Solution

The third proportional to 16,464 and 24,839 is: 37,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464 : 24,839 = 24,839 : x
  2. Step 2: Convert to fraction form
    16,464/24,839 = 24,839/x
  3. Step 3: Cross multiply
    16,464x = 24,839 × 24,839
  4. Step 4: Simplify right side
    16,464x = 616,975,921
  5. Step 5: Solve for x
    x = 616,975,921/16,464
  6. Step 6: Final answer
    x = 37,474.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.