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Finding the Third Proportional to 8,110 and 17,471

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Solution

The third proportional to 8,110 and 17,471 is: 37,636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110 : 17,471 = 17,471 : x
  2. Step 2: Convert to fraction form
    8,110/17,471 = 17,471/x
  3. Step 3: Cross multiply
    8,110x = 17,471 × 17,471
  4. Step 4: Simplify right side
    8,110x = 305,235,841
  5. Step 5: Solve for x
    x = 305,235,841/8,110
  6. Step 6: Final answer
    x = 37,636.97

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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.