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Finding the Third Proportional to 34,771 and 47,234

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Solution

The third proportional to 34,771 and 47,234 is: 64,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,771 : 47,234 = 47,234 : x
  2. Step 2: Convert to fraction form
    34,771/47,234 = 47,234/x
  3. Step 3: Cross multiply
    34,771x = 47,234 × 47,234
  4. Step 4: Simplify right side
    34,771x = 2,231,050,756
  5. Step 5: Solve for x
    x = 2,231,050,756/34,771
  6. Step 6: Final answer
    x = 64,164.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.