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Finding the Third Proportional to 33,083.44 and 72,115.31

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Solution

The third proportional to 33,083.44 and 72,115.31 is: 157,197.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,083.44 : 72,115.31 = 72,115.31 : x
  2. Step 2: Convert to fraction form
    33,083.44/72,115.31 = 72,115.31/x
  3. Step 3: Cross multiply
    33,083.44x = 72,115.31 × 72,115.31
  4. Step 4: Simplify right side
    33,083.44x = 5,200,618,296.97
  5. Step 5: Solve for x
    x = 5,200,618,296.97/33,083.44
  6. Step 6: Final answer
    x = 157,197.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.