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Finding the Third Proportional to 37,644 and 80,286

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Solution

The third proportional to 37,644 and 80,286 is: 171,231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,644 : 80,286 = 80,286 : x
  2. Step 2: Convert to fraction form
    37,644/80,286 = 80,286/x
  3. Step 3: Cross multiply
    37,644x = 80,286 × 80,286
  4. Step 4: Simplify right side
    37,644x = 6,445,841,796
  5. Step 5: Solve for x
    x = 6,445,841,796/37,644
  6. Step 6: Final answer
    x = 171,231.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.