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Finding the Third Proportional to 16,607 and 25,397

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Solution

The third proportional to 16,607 and 25,397 is: 38,839.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,607 : 25,397 = 25,397 : x
  2. Step 2: Convert to fraction form
    16,607/25,397 = 25,397/x
  3. Step 3: Cross multiply
    16,607x = 25,397 × 25,397
  4. Step 4: Simplify right side
    16,607x = 645,007,609
  5. Step 5: Solve for x
    x = 645,007,609/16,607
  6. Step 6: Final answer
    x = 38,839.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.