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Finding the Third Proportional to 20,028 and 42,204

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Solution

The third proportional to 20,028 and 42,204 is: 88,934.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,028 : 42,204 = 42,204 : x
  2. Step 2: Convert to fraction form
    20,028/42,204 = 42,204/x
  3. Step 3: Cross multiply
    20,028x = 42,204 × 42,204
  4. Step 4: Simplify right side
    20,028x = 1,781,177,616
  5. Step 5: Solve for x
    x = 1,781,177,616/20,028
  6. Step 6: Final answer
    x = 88,934.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.