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Finding the Third Proportional to 33,239.53 and 71,149.22

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Solution

The third proportional to 33,239.53 and 71,149.22 is: 152,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,239.53 : 71,149.22 = 71,149.22 : x
  2. Step 2: Convert to fraction form
    33,239.53/71,149.22 = 71,149.22/x
  3. Step 3: Cross multiply
    33,239.53x = 71,149.22 × 71,149.22
  4. Step 4: Simplify right side
    33,239.53x = 5,062,211,328.74
  5. Step 5: Solve for x
    x = 5,062,211,328.74/33,239.53
  6. Step 6: Final answer
    x = 152,294.91

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.