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Finding the Third Proportional to 9,439 and 13,105

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Solution

The third proportional to 9,439 and 13,105 is: 18,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,439 : 13,105 = 13,105 : x
  2. Step 2: Convert to fraction form
    9,439/13,105 = 13,105/x
  3. Step 3: Cross multiply
    9,439x = 13,105 × 13,105
  4. Step 4: Simplify right side
    9,439x = 171,741,025
  5. Step 5: Solve for x
    x = 171,741,025/9,439
  6. Step 6: Final answer
    x = 18,194.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.