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Finding the Third Proportional to 33,002 and 54,177

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Solution

The third proportional to 33,002 and 54,177 is: 88,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,002 : 54,177 = 54,177 : x
  2. Step 2: Convert to fraction form
    33,002/54,177 = 54,177/x
  3. Step 3: Cross multiply
    33,002x = 54,177 × 54,177
  4. Step 4: Simplify right side
    33,002x = 2,935,147,329
  5. Step 5: Solve for x
    x = 2,935,147,329/33,002
  6. Step 6: Final answer
    x = 88,938.47

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.