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Finding the Third Proportional to 33,028 and 50,171

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Solution

The third proportional to 33,028 and 50,171 is: 76,211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,028 : 50,171 = 50,171 : x
  2. Step 2: Convert to fraction form
    33,028/50,171 = 50,171/x
  3. Step 3: Cross multiply
    33,028x = 50,171 × 50,171
  4. Step 4: Simplify right side
    33,028x = 2,517,129,241
  5. Step 5: Solve for x
    x = 2,517,129,241/33,028
  6. Step 6: Final answer
    x = 76,211.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.