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Finding the Third Proportional to 33,446 and 49,059

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Solution

The third proportional to 33,446 and 49,059 is: 71,960.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,446 : 49,059 = 49,059 : x
  2. Step 2: Convert to fraction form
    33,446/49,059 = 49,059/x
  3. Step 3: Cross multiply
    33,446x = 49,059 × 49,059
  4. Step 4: Simplify right side
    33,446x = 2,406,785,481
  5. Step 5: Solve for x
    x = 2,406,785,481/33,446
  6. Step 6: Final answer
    x = 71,960.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.