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Finding the Third Proportional to 9,941 and 13,189

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Solution

The third proportional to 9,941 and 13,189 is: 17,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,941 : 13,189 = 13,189 : x
  2. Step 2: Convert to fraction form
    9,941/13,189 = 13,189/x
  3. Step 3: Cross multiply
    9,941x = 13,189 × 13,189
  4. Step 4: Simplify right side
    9,941x = 173,949,721
  5. Step 5: Solve for x
    x = 173,949,721/9,941
  6. Step 6: Final answer
    x = 17,498.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.