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Finding the Third Proportional to 9,214 and 11,661

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Solution

The third proportional to 9,214 and 11,661 is: 14,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214 : 11,661 = 11,661 : x
  2. Step 2: Convert to fraction form
    9,214/11,661 = 11,661/x
  3. Step 3: Cross multiply
    9,214x = 11,661 × 11,661
  4. Step 4: Simplify right side
    9,214x = 135,978,921
  5. Step 5: Solve for x
    x = 135,978,921/9,214
  6. Step 6: Final answer
    x = 14,757.86

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.