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Finding the Third Proportional to 33,006 and 54,183

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Solution

The third proportional to 33,006 and 54,183 is: 88,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006 : 54,183 = 54,183 : x
  2. Step 2: Convert to fraction form
    33,006/54,183 = 54,183/x
  3. Step 3: Cross multiply
    33,006x = 54,183 × 54,183
  4. Step 4: Simplify right side
    33,006x = 2,935,797,489
  5. Step 5: Solve for x
    x = 2,935,797,489/33,006
  6. Step 6: Final answer
    x = 88,947.39

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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.