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Finding the Third Proportional to 12,634 and 20,105

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Solution

The third proportional to 12,634 and 20,105 is: 31,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634 : 20,105 = 20,105 : x
  2. Step 2: Convert to fraction form
    12,634/20,105 = 20,105/x
  3. Step 3: Cross multiply
    12,634x = 20,105 × 20,105
  4. Step 4: Simplify right side
    12,634x = 404,211,025
  5. Step 5: Solve for x
    x = 404,211,025/12,634
  6. Step 6: Final answer
    x = 31,993.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.