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Finding the Third Proportional to 8,272 and 12,812

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Solution

The third proportional to 8,272 and 12,812 is: 19,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272 : 12,812 = 12,812 : x
  2. Step 2: Convert to fraction form
    8,272/12,812 = 12,812/x
  3. Step 3: Cross multiply
    8,272x = 12,812 × 12,812
  4. Step 4: Simplify right side
    8,272x = 164,147,344
  5. Step 5: Solve for x
    x = 164,147,344/8,272
  6. Step 6: Final answer
    x = 19,843.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.