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Finding the Third Proportional to 33,952 and 49,942

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Solution

The third proportional to 33,952 and 49,942 is: 73,462.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,952 : 49,942 = 49,942 : x
  2. Step 2: Convert to fraction form
    33,952/49,942 = 49,942/x
  3. Step 3: Cross multiply
    33,952x = 49,942 × 49,942
  4. Step 4: Simplify right side
    33,952x = 2,494,203,364
  5. Step 5: Solve for x
    x = 2,494,203,364/33,952
  6. Step 6: Final answer
    x = 73,462.63

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