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Finding the Third Proportional to 36,652 and 54,882

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Solution

The third proportional to 36,652 and 54,882 is: 82,179.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,652 : 54,882 = 54,882 : x
  2. Step 2: Convert to fraction form
    36,652/54,882 = 54,882/x
  3. Step 3: Cross multiply
    36,652x = 54,882 × 54,882
  4. Step 4: Simplify right side
    36,652x = 3,012,033,924
  5. Step 5: Solve for x
    x = 3,012,033,924/36,652
  6. Step 6: Final answer
    x = 82,179.25

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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.