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Finding the Third Proportional to 20,181 and 27,703

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Solution

The third proportional to 20,181 and 27,703 is: 38,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,181 : 27,703 = 27,703 : x
  2. Step 2: Convert to fraction form
    20,181/27,703 = 27,703/x
  3. Step 3: Cross multiply
    20,181x = 27,703 × 27,703
  4. Step 4: Simplify right side
    20,181x = 767,456,209
  5. Step 5: Solve for x
    x = 767,456,209/20,181
  6. Step 6: Final answer
    x = 38,028.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.