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Finding the Third Proportional to 37,796 and 82,252

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Solution

The third proportional to 37,796 and 82,252 is: 178,997.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,796 : 82,252 = 82,252 : x
  2. Step 2: Convert to fraction form
    37,796/82,252 = 82,252/x
  3. Step 3: Cross multiply
    37,796x = 82,252 × 82,252
  4. Step 4: Simplify right side
    37,796x = 6,765,391,504
  5. Step 5: Solve for x
    x = 6,765,391,504/37,796
  6. Step 6: Final answer
    x = 178,997.55

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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.