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Finding the Third Proportional to 10,497 and 16,449

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Solution

The third proportional to 10,497 and 16,449 is: 25,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497 : 16,449 = 16,449 : x
  2. Step 2: Convert to fraction form
    10,497/16,449 = 16,449/x
  3. Step 3: Cross multiply
    10,497x = 16,449 × 16,449
  4. Step 4: Simplify right side
    10,497x = 270,569,601
  5. Step 5: Solve for x
    x = 270,569,601/10,497
  6. Step 6: Final answer
    x = 25,775.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.