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Finding the Third Proportional to 33,109.31 and 71,717.91

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Solution

The third proportional to 33,109.31 and 71,717.91 is: 155,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,109.31 : 71,717.91 = 71,717.91 : x
  2. Step 2: Convert to fraction form
    33,109.31/71,717.91 = 71,717.91/x
  3. Step 3: Cross multiply
    33,109.31x = 71,717.91 × 71,717.91
  4. Step 4: Simplify right side
    33,109.31x = 5,143,458,076.88
  5. Step 5: Solve for x
    x = 5,143,458,076.88/33,109.31
  6. Step 6: Final answer
    x = 155,347.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.