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Finding the Third Proportional to 33,690 and 73,936

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Solution

The third proportional to 33,690 and 73,936 is: 162,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,690 : 73,936 = 73,936 : x
  2. Step 2: Convert to fraction form
    33,690/73,936 = 73,936/x
  3. Step 3: Cross multiply
    33,690x = 73,936 × 73,936
  4. Step 4: Simplify right side
    33,690x = 5,466,532,096
  5. Step 5: Solve for x
    x = 5,466,532,096/33,690
  6. Step 6: Final answer
    x = 162,259.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.