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Finding the Third Proportional to 33,514 and 73,652

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Solution

The third proportional to 33,514 and 73,652 is: 161,861.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,514 : 73,652 = 73,652 : x
  2. Step 2: Convert to fraction form
    33,514/73,652 = 73,652/x
  3. Step 3: Cross multiply
    33,514x = 73,652 × 73,652
  4. Step 4: Simplify right side
    33,514x = 5,424,617,104
  5. Step 5: Solve for x
    x = 5,424,617,104/33,514
  6. Step 6: Final answer
    x = 161,861.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.