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Finding the Third Proportional to 12,414.87 and 27,150.78

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Solution

The third proportional to 12,414.87 and 27,150.78 is: 59,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414.87 : 27,150.78 = 27,150.78 : x
  2. Step 2: Convert to fraction form
    12,414.87/27,150.78 = 27,150.78/x
  3. Step 3: Cross multiply
    12,414.87x = 27,150.78 × 27,150.78
  4. Step 4: Simplify right side
    12,414.87x = 737,164,816.43
  5. Step 5: Solve for x
    x = 737,164,816.43/12,414.87
  6. Step 6: Final answer
    x = 59,377.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.