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Finding the Third Proportional to 17,580 and 38,163

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Solution

The third proportional to 17,580 and 38,163 is: 82,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,580 : 38,163 = 38,163 : x
  2. Step 2: Convert to fraction form
    17,580/38,163 = 38,163/x
  3. Step 3: Cross multiply
    17,580x = 38,163 × 38,163
  4. Step 4: Simplify right side
    17,580x = 1,456,414,569
  5. Step 5: Solve for x
    x = 1,456,414,569/17,580
  6. Step 6: Final answer
    x = 82,844.97

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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.