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Finding the Third Proportional to 15,397 and 24,797

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Solution

The third proportional to 15,397 and 24,797 is: 39,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,397 : 24,797 = 24,797 : x
  2. Step 2: Convert to fraction form
    15,397/24,797 = 24,797/x
  3. Step 3: Cross multiply
    15,397x = 24,797 × 24,797
  4. Step 4: Simplify right side
    15,397x = 614,891,209
  5. Step 5: Solve for x
    x = 614,891,209/15,397
  6. Step 6: Final answer
    x = 39,935.78

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.