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Finding the Third Proportional to 20,171 and 38,641

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Solution

The third proportional to 20,171 and 38,641 is: 74,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171 : 38,641 = 38,641 : x
  2. Step 2: Convert to fraction form
    20,171/38,641 = 38,641/x
  3. Step 3: Cross multiply
    20,171x = 38,641 × 38,641
  4. Step 4: Simplify right side
    20,171x = 1,493,126,881
  5. Step 5: Solve for x
    x = 1,493,126,881/20,171
  6. Step 6: Final answer
    x = 74,023.44

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.