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Finding the Third Proportional to 21,174 and 47,743

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Solution

The third proportional to 21,174 and 47,743 is: 107,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174 : 47,743 = 47,743 : x
  2. Step 2: Convert to fraction form
    21,174/47,743 = 47,743/x
  3. Step 3: Cross multiply
    21,174x = 47,743 × 47,743
  4. Step 4: Simplify right side
    21,174x = 2,279,394,049
  5. Step 5: Solve for x
    x = 2,279,394,049/21,174
  6. Step 6: Final answer
    x = 107,650.61

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.