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Finding the Third Proportional to 8,114 and 9,626

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Solution

The third proportional to 8,114 and 9,626 is: 11,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114 : 9,626 = 9,626 : x
  2. Step 2: Convert to fraction form
    8,114/9,626 = 9,626/x
  3. Step 3: Cross multiply
    8,114x = 9,626 × 9,626
  4. Step 4: Simplify right side
    8,114x = 92,659,876
  5. Step 5: Solve for x
    x = 92,659,876/8,114
  6. Step 6: Final answer
    x = 11,419.75

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.