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Finding the Third Proportional to 33,219.75 and 44,753.25

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Solution

The third proportional to 33,219.75 and 44,753.25 is: 60,291.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,219.75 : 44,753.25 = 44,753.25 : x
  2. Step 2: Convert to fraction form
    33,219.75/44,753.25 = 44,753.25/x
  3. Step 3: Cross multiply
    33,219.75x = 44,753.25 × 44,753.25
  4. Step 4: Simplify right side
    33,219.75x = 2,002,853,385.56
  5. Step 5: Solve for x
    x = 2,002,853,385.56/33,219.75
  6. Step 6: Final answer
    x = 60,291.04

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.