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Finding the Third Proportional to 11,081 and 23,901

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Solution

The third proportional to 11,081 and 23,901 is: 51,552.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,081 : 23,901 = 23,901 : x
  2. Step 2: Convert to fraction form
    11,081/23,901 = 23,901/x
  3. Step 3: Cross multiply
    11,081x = 23,901 × 23,901
  4. Step 4: Simplify right side
    11,081x = 571,257,801
  5. Step 5: Solve for x
    x = 571,257,801/11,081
  6. Step 6: Final answer
    x = 51,552.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.