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Finding the Third Proportional to 3,912.68 and 5,965.84

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Solution

The third proportional to 3,912.68 and 5,965.84 is: 9,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.68 : 5,965.84 = 5,965.84 : x
  2. Step 2: Convert to fraction form
    3,912.68/5,965.84 = 5,965.84/x
  3. Step 3: Cross multiply
    3,912.68x = 5,965.84 × 5,965.84
  4. Step 4: Simplify right side
    3,912.68x = 35,591,245.04
  5. Step 5: Solve for x
    x = 35,591,245.04/3,912.68
  6. Step 6: Final answer
    x = 9,096.39

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.