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Finding the Third Proportional to 38,200 and 82,771

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Solution

The third proportional to 38,200 and 82,771 is: 179,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200 : 82,771 = 82,771 : x
  2. Step 2: Convert to fraction form
    38,200/82,771 = 82,771/x
  3. Step 3: Cross multiply
    38,200x = 82,771 × 82,771
  4. Step 4: Simplify right side
    38,200x = 6,851,038,441
  5. Step 5: Solve for x
    x = 6,851,038,441/38,200
  6. Step 6: Final answer
    x = 179,346.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.