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Finding the Third Proportional to 36,285 and 54,975

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Solution

The third proportional to 36,285 and 54,975 is: 83,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,285 : 54,975 = 54,975 : x
  2. Step 2: Convert to fraction form
    36,285/54,975 = 54,975/x
  3. Step 3: Cross multiply
    36,285x = 54,975 × 54,975
  4. Step 4: Simplify right side
    36,285x = 3,022,250,625
  5. Step 5: Solve for x
    x = 3,022,250,625/36,285
  6. Step 6: Final answer
    x = 83,292.01

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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.