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Finding the Third Proportional to 40,083.75 and 86,591.25

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Solution

The third proportional to 40,083.75 and 86,591.25 is: 187,059.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,083.75 : 86,591.25 = 86,591.25 : x
  2. Step 2: Convert to fraction form
    40,083.75/86,591.25 = 86,591.25/x
  3. Step 3: Cross multiply
    40,083.75x = 86,591.25 × 86,591.25
  4. Step 4: Simplify right side
    40,083.75x = 7,498,044,576.56
  5. Step 5: Solve for x
    x = 7,498,044,576.56/40,083.75
  6. Step 6: Final answer
    x = 187,059.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.