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Finding the Third Proportional to 36,250 and 54,204

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Solution

The third proportional to 36,250 and 54,204 is: 81,050.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,250 : 54,204 = 54,204 : x
  2. Step 2: Convert to fraction form
    36,250/54,204 = 54,204/x
  3. Step 3: Cross multiply
    36,250x = 54,204 × 54,204
  4. Step 4: Simplify right side
    36,250x = 2,938,073,616
  5. Step 5: Solve for x
    x = 2,938,073,616/36,250
  6. Step 6: Final answer
    x = 81,050.31

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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.