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Finding the Third Proportional to 12,081 and 17,109

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Solution

The third proportional to 12,081 and 17,109 is: 24,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,081 : 17,109 = 17,109 : x
  2. Step 2: Convert to fraction form
    12,081/17,109 = 17,109/x
  3. Step 3: Cross multiply
    12,081x = 17,109 × 17,109
  4. Step 4: Simplify right side
    12,081x = 292,717,881
  5. Step 5: Solve for x
    x = 292,717,881/12,081
  6. Step 6: Final answer
    x = 24,229.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.