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Finding the Third Proportional to 36,936 and 57,867

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Solution

The third proportional to 36,936 and 57,867 is: 90,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,936 : 57,867 = 57,867 : x
  2. Step 2: Convert to fraction form
    36,936/57,867 = 57,867/x
  3. Step 3: Cross multiply
    36,936x = 57,867 × 57,867
  4. Step 4: Simplify right side
    36,936x = 3,348,589,689
  5. Step 5: Solve for x
    x = 3,348,589,689/36,936
  6. Step 6: Final answer
    x = 90,659.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.