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Finding the Third Proportional to 8,086.31 and 12,079.69

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Solution

The third proportional to 8,086.31 and 12,079.69 is: 18,045.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.31 : 12,079.69 = 12,079.69 : x
  2. Step 2: Convert to fraction form
    8,086.31/12,079.69 = 12,079.69/x
  3. Step 3: Cross multiply
    8,086.31x = 12,079.69 × 12,079.69
  4. Step 4: Simplify right side
    8,086.31x = 145,918,850.10
  5. Step 5: Solve for x
    x = 145,918,850.10/8,086.31
  6. Step 6: Final answer
    x = 18,045.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.