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Finding the Third Proportional to 3,974.06 and 9,190.97

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Solution

The third proportional to 3,974.06 and 9,190.97 is: 21,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.06 : 9,190.97 = 9,190.97 : x
  2. Step 2: Convert to fraction form
    3,974.06/9,190.97 = 9,190.97/x
  3. Step 3: Cross multiply
    3,974.06x = 9,190.97 × 9,190.97
  4. Step 4: Simplify right side
    3,974.06x = 84,473,906.56
  5. Step 5: Solve for x
    x = 84,473,906.56/3,974.06
  6. Step 6: Final answer
    x = 21,256.31

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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.