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Finding the Third Proportional to 33,277 and 50,051

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Solution

The third proportional to 33,277 and 50,051 is: 75,280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,277 : 50,051 = 50,051 : x
  2. Step 2: Convert to fraction form
    33,277/50,051 = 50,051/x
  3. Step 3: Cross multiply
    33,277x = 50,051 × 50,051
  4. Step 4: Simplify right side
    33,277x = 2,505,102,601
  5. Step 5: Solve for x
    x = 2,505,102,601/33,277
  6. Step 6: Final answer
    x = 75,280.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.