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Finding the Third Proportional to 38,333 and 82,525

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Solution

The third proportional to 38,333 and 82,525 is: 177,663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,333 : 82,525 = 82,525 : x
  2. Step 2: Convert to fraction form
    38,333/82,525 = 82,525/x
  3. Step 3: Cross multiply
    38,333x = 82,525 × 82,525
  4. Step 4: Simplify right side
    38,333x = 6,810,375,625
  5. Step 5: Solve for x
    x = 6,810,375,625/38,333
  6. Step 6: Final answer
    x = 177,663.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.