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Finding the Third Proportional to 27,204 and 55,872

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Solution

The third proportional to 27,204 and 55,872 is: 114,750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,204 : 55,872 = 55,872 : x
  2. Step 2: Convert to fraction form
    27,204/55,872 = 55,872/x
  3. Step 3: Cross multiply
    27,204x = 55,872 × 55,872
  4. Step 4: Simplify right side
    27,204x = 3,121,680,384
  5. Step 5: Solve for x
    x = 3,121,680,384/27,204
  6. Step 6: Final answer
    x = 114,750.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.