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Finding the Third Proportional to 38,883.75 and 80,221.13

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Solution

The third proportional to 38,883.75 and 80,221.13 is: 165,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,883.75 : 80,221.13 = 80,221.13 : x
  2. Step 2: Convert to fraction form
    38,883.75/80,221.13 = 80,221.13/x
  3. Step 3: Cross multiply
    38,883.75x = 80,221.13 × 80,221.13
  4. Step 4: Simplify right side
    38,883.75x = 6,435,428,896.27
  5. Step 5: Solve for x
    x = 6,435,428,896.27/38,883.75
  6. Step 6: Final answer
    x = 165,504.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.