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Finding the Third Proportional to 21,500 and 47,234

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Solution

The third proportional to 21,500 and 47,234 is: 103,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,500 : 47,234 = 47,234 : x
  2. Step 2: Convert to fraction form
    21,500/47,234 = 47,234/x
  3. Step 3: Cross multiply
    21,500x = 47,234 × 47,234
  4. Step 4: Simplify right side
    21,500x = 2,231,050,756
  5. Step 5: Solve for x
    x = 2,231,050,756/21,500
  6. Step 6: Final answer
    x = 103,769.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.