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Finding the Third Proportional to 6,105 and 13,422

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Solution

The third proportional to 6,105 and 13,422 is: 29,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105 : 13,422 = 13,422 : x
  2. Step 2: Convert to fraction form
    6,105/13,422 = 13,422/x
  3. Step 3: Cross multiply
    6,105x = 13,422 × 13,422
  4. Step 4: Simplify right side
    6,105x = 180,150,084
  5. Step 5: Solve for x
    x = 180,150,084/6,105
  6. Step 6: Final answer
    x = 29,508.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.