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Finding the Third Proportional to 20,204 and 47,909

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Solution

The third proportional to 20,204 and 47,909 is: 113,604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,204 : 47,909 = 47,909 : x
  2. Step 2: Convert to fraction form
    20,204/47,909 = 47,909/x
  3. Step 3: Cross multiply
    20,204x = 47,909 × 47,909
  4. Step 4: Simplify right side
    20,204x = 2,295,272,281
  5. Step 5: Solve for x
    x = 2,295,272,281/20,204
  6. Step 6: Final answer
    x = 113,604.84

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.