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Finding the Third Proportional to 3,900.66 and 5,086.55

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Solution

The third proportional to 3,900.66 and 5,086.55 is: 6,632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.66 : 5,086.55 = 5,086.55 : x
  2. Step 2: Convert to fraction form
    3,900.66/5,086.55 = 5,086.55/x
  3. Step 3: Cross multiply
    3,900.66x = 5,086.55 × 5,086.55
  4. Step 4: Simplify right side
    3,900.66x = 25,872,959.11
  5. Step 5: Solve for x
    x = 25,872,959.11/3,900.66
  6. Step 6: Final answer
    x = 6,632.98

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.