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Finding the Third Proportional to 3,747.94 and 8,224.88

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Solution

The third proportional to 3,747.94 and 8,224.88 is: 18,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.94 : 8,224.88 = 8,224.88 : x
  2. Step 2: Convert to fraction form
    3,747.94/8,224.88 = 8,224.88/x
  3. Step 3: Cross multiply
    3,747.94x = 8,224.88 × 8,224.88
  4. Step 4: Simplify right side
    3,747.94x = 67,648,568.77
  5. Step 5: Solve for x
    x = 67,648,568.77/3,747.94
  6. Step 6: Final answer
    x = 18,049.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.