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Finding the Third Proportional to 33,942 and 73,692

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Solution

The third proportional to 33,942 and 73,692 is: 159,993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,942 : 73,692 = 73,692 : x
  2. Step 2: Convert to fraction form
    33,942/73,692 = 73,692/x
  3. Step 3: Cross multiply
    33,942x = 73,692 × 73,692
  4. Step 4: Simplify right side
    33,942x = 5,430,510,864
  5. Step 5: Solve for x
    x = 5,430,510,864/33,942
  6. Step 6: Final answer
    x = 159,993.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.