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Finding the Third Proportional to 3,964.57 and 8,713.83

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Solution

The third proportional to 3,964.57 and 8,713.83 is: 19,152.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.57 : 8,713.83 = 8,713.83 : x
  2. Step 2: Convert to fraction form
    3,964.57/8,713.83 = 8,713.83/x
  3. Step 3: Cross multiply
    3,964.57x = 8,713.83 × 8,713.83
  4. Step 4: Simplify right side
    3,964.57x = 75,930,800.59
  5. Step 5: Solve for x
    x = 75,930,800.59/3,964.57
  6. Step 6: Final answer
    x = 19,152.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.