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Finding the Third Proportional to 17,934 and 27,285

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Solution

The third proportional to 17,934 and 27,285 is: 41,511.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,934 : 27,285 = 27,285 : x
  2. Step 2: Convert to fraction form
    17,934/27,285 = 27,285/x
  3. Step 3: Cross multiply
    17,934x = 27,285 × 27,285
  4. Step 4: Simplify right side
    17,934x = 744,471,225
  5. Step 5: Solve for x
    x = 744,471,225/17,934
  6. Step 6: Final answer
    x = 41,511.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.