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Finding the Third Proportional to 33,950 and 49,939

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Solution

The third proportional to 33,950 and 49,939 is: 73,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,950 : 49,939 = 49,939 : x
  2. Step 2: Convert to fraction form
    33,950/49,939 = 49,939/x
  3. Step 3: Cross multiply
    33,950x = 49,939 × 49,939
  4. Step 4: Simplify right side
    33,950x = 2,493,903,721
  5. Step 5: Solve for x
    x = 2,493,903,721/33,950
  6. Step 6: Final answer
    x = 73,458.14

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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.