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Finding the Third Proportional to 20,209 and 47,204

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Solution

The third proportional to 20,209 and 47,204 is: 110,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,209 : 47,204 = 47,204 : x
  2. Step 2: Convert to fraction form
    20,209/47,204 = 47,204/x
  3. Step 3: Cross multiply
    20,209x = 47,204 × 47,204
  4. Step 4: Simplify right side
    20,209x = 2,228,217,616
  5. Step 5: Solve for x
    x = 2,228,217,616/20,209
  6. Step 6: Final answer
    x = 110,258.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.