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Finding the Third Proportional to 9,761 and 13,422

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Solution

The third proportional to 9,761 and 13,422 is: 18,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761 : 13,422 = 13,422 : x
  2. Step 2: Convert to fraction form
    9,761/13,422 = 13,422/x
  3. Step 3: Cross multiply
    9,761x = 13,422 × 13,422
  4. Step 4: Simplify right side
    9,761x = 180,150,084
  5. Step 5: Solve for x
    x = 180,150,084/9,761
  6. Step 6: Final answer
    x = 18,456.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.