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Finding the Third Proportional to 6,766.03 and 12,857.17

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Solution

The third proportional to 6,766.03 and 12,857.17 is: 24,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.03 : 12,857.17 = 12,857.17 : x
  2. Step 2: Convert to fraction form
    6,766.03/12,857.17 = 12,857.17/x
  3. Step 3: Cross multiply
    6,766.03x = 12,857.17 × 12,857.17
  4. Step 4: Simplify right side
    6,766.03x = 165,306,768.18
  5. Step 5: Solve for x
    x = 165,306,768.18/6,766.03
  6. Step 6: Final answer
    x = 24,431.87

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.