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Finding the Third Proportional to 11,397 and 24,737

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Solution

The third proportional to 11,397 and 24,737 is: 53,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397 : 24,737 = 24,737 : x
  2. Step 2: Convert to fraction form
    11,397/24,737 = 24,737/x
  3. Step 3: Cross multiply
    11,397x = 24,737 × 24,737
  4. Step 4: Simplify right side
    11,397x = 611,919,169
  5. Step 5: Solve for x
    x = 611,919,169/11,397
  6. Step 6: Final answer
    x = 53,691.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.