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Finding the Third Proportional to 27,251 and 58,801

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Solution

The third proportional to 27,251 and 58,801 is: 126,878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,251 : 58,801 = 58,801 : x
  2. Step 2: Convert to fraction form
    27,251/58,801 = 58,801/x
  3. Step 3: Cross multiply
    27,251x = 58,801 × 58,801
  4. Step 4: Simplify right side
    27,251x = 3,457,557,601
  5. Step 5: Solve for x
    x = 3,457,557,601/27,251
  6. Step 6: Final answer
    x = 126,878.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.