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Finding the Third Proportional to 37,443 and 80,718

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Solution

The third proportional to 37,443 and 80,718 is: 174,008.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,443 : 80,718 = 80,718 : x
  2. Step 2: Convert to fraction form
    37,443/80,718 = 80,718/x
  3. Step 3: Cross multiply
    37,443x = 80,718 × 80,718
  4. Step 4: Simplify right side
    37,443x = 6,515,395,524
  5. Step 5: Solve for x
    x = 6,515,395,524/37,443
  6. Step 6: Final answer
    x = 174,008.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.