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Finding the Third Proportional to 33,704 and 49,092

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Solution

The third proportional to 33,704 and 49,092 is: 71,505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,704 : 49,092 = 49,092 : x
  2. Step 2: Convert to fraction form
    33,704/49,092 = 49,092/x
  3. Step 3: Cross multiply
    33,704x = 49,092 × 49,092
  4. Step 4: Simplify right side
    33,704x = 2,410,024,464
  5. Step 5: Solve for x
    x = 2,410,024,464/33,704
  6. Step 6: Final answer
    x = 71,505.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.