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Finding the Third Proportional to 15,928 and 37,198

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Solution

The third proportional to 15,928 and 37,198 is: 86,871.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,928 : 37,198 = 37,198 : x
  2. Step 2: Convert to fraction form
    15,928/37,198 = 37,198/x
  3. Step 3: Cross multiply
    15,928x = 37,198 × 37,198
  4. Step 4: Simplify right side
    15,928x = 1,383,691,204
  5. Step 5: Solve for x
    x = 1,383,691,204/15,928
  6. Step 6: Final answer
    x = 86,871.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.