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Finding the Third Proportional to 33,589 and 73,319

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Solution

The third proportional to 33,589 and 73,319 is: 160,042.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,589 : 73,319 = 73,319 : x
  2. Step 2: Convert to fraction form
    33,589/73,319 = 73,319/x
  3. Step 3: Cross multiply
    33,589x = 73,319 × 73,319
  4. Step 4: Simplify right side
    33,589x = 5,375,675,761
  5. Step 5: Solve for x
    x = 5,375,675,761/33,589
  6. Step 6: Final answer
    x = 160,042.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.