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Finding the Third Proportional to 33,201.50 and 71,934

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Solution

The third proportional to 33,201.50 and 71,934 is: 155,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,201.50 : 71,934 = 71,934 : x
  2. Step 2: Convert to fraction form
    33,201.50/71,934 = 71,934/x
  3. Step 3: Cross multiply
    33,201.50x = 71,934 × 71,934
  4. Step 4: Simplify right side
    33,201.50x = 5,174,500,356
  5. Step 5: Solve for x
    x = 5,174,500,356/33,201.50
  6. Step 6: Final answer
    x = 155,851.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.