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Finding the Third Proportional to 12,481 and 27,149

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Solution

The third proportional to 12,481 and 27,149 is: 59,055.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,481 : 27,149 = 27,149 : x
  2. Step 2: Convert to fraction form
    12,481/27,149 = 27,149/x
  3. Step 3: Cross multiply
    12,481x = 27,149 × 27,149
  4. Step 4: Simplify right side
    12,481x = 737,068,201
  5. Step 5: Solve for x
    x = 737,068,201/12,481
  6. Step 6: Final answer
    x = 59,055.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.