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Finding the Third Proportional to 8,086 and 10,918

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Solution

The third proportional to 8,086 and 10,918 is: 14,741.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086 : 10,918 = 10,918 : x
  2. Step 2: Convert to fraction form
    8,086/10,918 = 10,918/x
  3. Step 3: Cross multiply
    8,086x = 10,918 × 10,918
  4. Step 4: Simplify right side
    8,086x = 119,202,724
  5. Step 5: Solve for x
    x = 119,202,724/8,086
  6. Step 6: Final answer
    x = 14,741.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.