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Finding the Third Proportional to 8,306.97 and 12,431.62

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Solution

The third proportional to 8,306.97 and 12,431.62 is: 18,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.97 : 12,431.62 = 12,431.62 : x
  2. Step 2: Convert to fraction form
    8,306.97/12,431.62 = 12,431.62/x
  3. Step 3: Cross multiply
    8,306.97x = 12,431.62 × 12,431.62
  4. Step 4: Simplify right side
    8,306.97x = 154,545,209.09
  5. Step 5: Solve for x
    x = 154,545,209.09/8,306.97
  6. Step 6: Final answer
    x = 18,604.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.