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Finding the Third Proportional to 17,898 and 27,151

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Solution

The third proportional to 17,898 and 27,151 is: 41,187.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,898 : 27,151 = 27,151 : x
  2. Step 2: Convert to fraction form
    17,898/27,151 = 27,151/x
  3. Step 3: Cross multiply
    17,898x = 27,151 × 27,151
  4. Step 4: Simplify right side
    17,898x = 737,176,801
  5. Step 5: Solve for x
    x = 737,176,801/17,898
  6. Step 6: Final answer
    x = 41,187.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.