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Finding the Third Proportional to 37,743 and 80,771

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Solution

The third proportional to 37,743 and 80,771 is: 172,852.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,743 : 80,771 = 80,771 : x
  2. Step 2: Convert to fraction form
    37,743/80,771 = 80,771/x
  3. Step 3: Cross multiply
    37,743x = 80,771 × 80,771
  4. Step 4: Simplify right side
    37,743x = 6,523,954,441
  5. Step 5: Solve for x
    x = 6,523,954,441/37,743
  6. Step 6: Final answer
    x = 172,852.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.