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Finding the Third Proportional to 20,264 and 47,147

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Solution

The third proportional to 20,264 and 47,147 is: 109,694.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264 : 47,147 = 47,147 : x
  2. Step 2: Convert to fraction form
    20,264/47,147 = 47,147/x
  3. Step 3: Cross multiply
    20,264x = 47,147 × 47,147
  4. Step 4: Simplify right side
    20,264x = 2,222,839,609
  5. Step 5: Solve for x
    x = 2,222,839,609/20,264
  6. Step 6: Final answer
    x = 109,694.02

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.