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Finding the Third Proportional to 33,972.75 and 80,092.13

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Solution

The third proportional to 33,972.75 and 80,092.13 is: 188,820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,972.75 : 80,092.13 = 80,092.13 : x
  2. Step 2: Convert to fraction form
    33,972.75/80,092.13 = 80,092.13/x
  3. Step 3: Cross multiply
    33,972.75x = 80,092.13 × 80,092.13
  4. Step 4: Simplify right side
    33,972.75x = 6,414,748,487.02
  5. Step 5: Solve for x
    x = 6,414,748,487.02/33,972.75
  6. Step 6: Final answer
    x = 188,820.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.