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Finding the Third Proportional to 38,009 and 87,982

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Solution

The third proportional to 38,009 and 87,982 is: 203,657.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009 : 87,982 = 87,982 : x
  2. Step 2: Convert to fraction form
    38,009/87,982 = 87,982/x
  3. Step 3: Cross multiply
    38,009x = 87,982 × 87,982
  4. Step 4: Simplify right side
    38,009x = 7,740,832,324
  5. Step 5: Solve for x
    x = 7,740,832,324/38,009
  6. Step 6: Final answer
    x = 203,657.88

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.