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Finding the Third Proportional to 19,831 and 27,195

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Solution

The third proportional to 19,831 and 27,195 is: 37,293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831 : 27,195 = 27,195 : x
  2. Step 2: Convert to fraction form
    19,831/27,195 = 27,195/x
  3. Step 3: Cross multiply
    19,831x = 27,195 × 27,195
  4. Step 4: Simplify right side
    19,831x = 739,568,025
  5. Step 5: Solve for x
    x = 739,568,025/19,831
  6. Step 6: Final answer
    x = 37,293.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.