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Finding the Third Proportional to 33,920.25 and 51,761.25

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Solution

The third proportional to 33,920.25 and 51,761.25 is: 78,986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,920.25 : 51,761.25 = 51,761.25 : x
  2. Step 2: Convert to fraction form
    33,920.25/51,761.25 = 51,761.25/x
  3. Step 3: Cross multiply
    33,920.25x = 51,761.25 × 51,761.25
  4. Step 4: Simplify right side
    33,920.25x = 2,679,227,001.56
  5. Step 5: Solve for x
    x = 2,679,227,001.56/33,920.25
  6. Step 6: Final answer
    x = 78,986.06

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.