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Finding the Third Proportional to 16,227 and 25,057

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Solution

The third proportional to 16,227 and 25,057 is: 38,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227 : 25,057 = 25,057 : x
  2. Step 2: Convert to fraction form
    16,227/25,057 = 25,057/x
  3. Step 3: Cross multiply
    16,227x = 25,057 × 25,057
  4. Step 4: Simplify right side
    16,227x = 627,853,249
  5. Step 5: Solve for x
    x = 627,853,249/16,227
  6. Step 6: Final answer
    x = 38,691.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.