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Finding the Third Proportional to 12,654.25 and 27,493

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Solution

The third proportional to 12,654.25 and 27,493 is: 59,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.25 : 27,493 = 27,493 : x
  2. Step 2: Convert to fraction form
    12,654.25/27,493 = 27,493/x
  3. Step 3: Cross multiply
    12,654.25x = 27,493 × 27,493
  4. Step 4: Simplify right side
    12,654.25x = 755,865,049
  5. Step 5: Solve for x
    x = 755,865,049/12,654.25
  6. Step 6: Final answer
    x = 59,732.11

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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.