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Finding the Third Proportional to 20,171 and 43,942

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Solution

The third proportional to 20,171 and 43,942 is: 95,726.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171 : 43,942 = 43,942 : x
  2. Step 2: Convert to fraction form
    20,171/43,942 = 43,942/x
  3. Step 3: Cross multiply
    20,171x = 43,942 × 43,942
  4. Step 4: Simplify right side
    20,171x = 1,930,899,364
  5. Step 5: Solve for x
    x = 1,930,899,364/20,171
  6. Step 6: Final answer
    x = 95,726.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.