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Finding the Third Proportional to 38,832.75 and 80,142.75

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Solution

The third proportional to 38,832.75 and 80,142.75 is: 165,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,832.75 : 80,142.75 = 80,142.75 : x
  2. Step 2: Convert to fraction form
    38,832.75/80,142.75 = 80,142.75/x
  3. Step 3: Cross multiply
    38,832.75x = 80,142.75 × 80,142.75
  4. Step 4: Simplify right side
    38,832.75x = 6,422,860,377.56
  5. Step 5: Solve for x
    x = 6,422,860,377.56/38,832.75
  6. Step 6: Final answer
    x = 165,398.03

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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.