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Finding the Third Proportional to 8,832 and 12,766

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Solution

The third proportional to 8,832 and 12,766 is: 18,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832 : 12,766 = 12,766 : x
  2. Step 2: Convert to fraction form
    8,832/12,766 = 12,766/x
  3. Step 3: Cross multiply
    8,832x = 12,766 × 12,766
  4. Step 4: Simplify right side
    8,832x = 162,970,756
  5. Step 5: Solve for x
    x = 162,970,756/8,832
  6. Step 6: Final answer
    x = 18,452.30

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.