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Finding the Third Proportional to 38,765.25 and 80,811

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Solution

The third proportional to 38,765.25 and 80,811 is: 168,460.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,765.25 : 80,811 = 80,811 : x
  2. Step 2: Convert to fraction form
    38,765.25/80,811 = 80,811/x
  3. Step 3: Cross multiply
    38,765.25x = 80,811 × 80,811
  4. Step 4: Simplify right side
    38,765.25x = 6,530,417,721
  5. Step 5: Solve for x
    x = 6,530,417,721/38,765.25
  6. Step 6: Final answer
    x = 168,460.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.