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Finding the Third Proportional to 8,766 and 12,717

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Solution

The third proportional to 8,766 and 12,717 is: 18,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766 : 12,717 = 12,717 : x
  2. Step 2: Convert to fraction form
    8,766/12,717 = 12,717/x
  3. Step 3: Cross multiply
    8,766x = 12,717 × 12,717
  4. Step 4: Simplify right side
    8,766x = 161,722,089
  5. Step 5: Solve for x
    x = 161,722,089/8,766
  6. Step 6: Final answer
    x = 18,448.79

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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.