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Finding the Third Proportional to 38,006 and 80,932

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Solution

The third proportional to 38,006 and 80,932 is: 172,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,006 : 80,932 = 80,932 : x
  2. Step 2: Convert to fraction form
    38,006/80,932 = 80,932/x
  3. Step 3: Cross multiply
    38,006x = 80,932 × 80,932
  4. Step 4: Simplify right side
    38,006x = 6,549,988,624
  5. Step 5: Solve for x
    x = 6,549,988,624/38,006
  6. Step 6: Final answer
    x = 172,340.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.