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Finding the Third Proportional to 33,066 and 71,962

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Solution

The third proportional to 33,066 and 71,962 is: 156,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,066 : 71,962 = 71,962 : x
  2. Step 2: Convert to fraction form
    33,066/71,962 = 71,962/x
  3. Step 3: Cross multiply
    33,066x = 71,962 × 71,962
  4. Step 4: Simplify right side
    33,066x = 5,178,529,444
  5. Step 5: Solve for x
    x = 5,178,529,444/33,066
  6. Step 6: Final answer
    x = 156,611.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.