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Finding the Third Proportional to 38,530 and 82,801

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Solution

The third proportional to 38,530 and 82,801 is: 177,939.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,530 : 82,801 = 82,801 : x
  2. Step 2: Convert to fraction form
    38,530/82,801 = 82,801/x
  3. Step 3: Cross multiply
    38,530x = 82,801 × 82,801
  4. Step 4: Simplify right side
    38,530x = 6,856,005,601
  5. Step 5: Solve for x
    x = 6,856,005,601/38,530
  6. Step 6: Final answer
    x = 177,939.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.