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Finding the Third Proportional to 8,686 and 11,874

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Solution

The third proportional to 8,686 and 11,874 is: 16,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686 : 11,874 = 11,874 : x
  2. Step 2: Convert to fraction form
    8,686/11,874 = 11,874/x
  3. Step 3: Cross multiply
    8,686x = 11,874 × 11,874
  4. Step 4: Simplify right side
    8,686x = 140,991,876
  5. Step 5: Solve for x
    x = 140,991,876/8,686
  6. Step 6: Final answer
    x = 16,232.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.