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Finding the Third Proportional to 34,467 and 49,695

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Solution

The third proportional to 34,467 and 49,695 is: 71,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,467 : 49,695 = 49,695 : x
  2. Step 2: Convert to fraction form
    34,467/49,695 = 49,695/x
  3. Step 3: Cross multiply
    34,467x = 49,695 × 49,695
  4. Step 4: Simplify right side
    34,467x = 2,469,593,025
  5. Step 5: Solve for x
    x = 2,469,593,025/34,467
  6. Step 6: Final answer
    x = 71,650.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.