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Finding the Third Proportional to 33,002.50 and 43,761.50

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Solution

The third proportional to 33,002.50 and 43,761.50 is: 58,027.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,002.50 : 43,761.50 = 43,761.50 : x
  2. Step 2: Convert to fraction form
    33,002.50/43,761.50 = 43,761.50/x
  3. Step 3: Cross multiply
    33,002.50x = 43,761.50 × 43,761.50
  4. Step 4: Simplify right side
    33,002.50x = 1,915,068,882.25
  5. Step 5: Solve for x
    x = 1,915,068,882.25/33,002.50
  6. Step 6: Final answer
    x = 58,027.99

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.