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Finding the Third Proportional to 33,923 and 74,577

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Solution

The third proportional to 33,923 and 74,577 is: 163,951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,923 : 74,577 = 74,577 : x
  2. Step 2: Convert to fraction form
    33,923/74,577 = 74,577/x
  3. Step 3: Cross multiply
    33,923x = 74,577 × 74,577
  4. Step 4: Simplify right side
    33,923x = 5,561,728,929
  5. Step 5: Solve for x
    x = 5,561,728,929/33,923
  6. Step 6: Final answer
    x = 163,951.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.