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Finding the Third Proportional to 16,204 and 38,151

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Solution

The third proportional to 16,204 and 38,151 is: 89,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204 : 38,151 = 38,151 : x
  2. Step 2: Convert to fraction form
    16,204/38,151 = 38,151/x
  3. Step 3: Cross multiply
    16,204x = 38,151 × 38,151
  4. Step 4: Simplify right side
    16,204x = 1,455,498,801
  5. Step 5: Solve for x
    x = 1,455,498,801/16,204
  6. Step 6: Final answer
    x = 89,823.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.