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Finding the Third Proportional to 4,934 and 10,147

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Solution

The third proportional to 4,934 and 10,147 is: 20,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934 : 10,147 = 10,147 : x
  2. Step 2: Convert to fraction form
    4,934/10,147 = 10,147/x
  3. Step 3: Cross multiply
    4,934x = 10,147 × 10,147
  4. Step 4: Simplify right side
    4,934x = 102,961,609
  5. Step 5: Solve for x
    x = 102,961,609/4,934
  6. Step 6: Final answer
    x = 20,867.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.