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Finding the Third Proportional to 19,831 and 27,194

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Solution

The third proportional to 19,831 and 27,194 is: 37,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831 : 27,194 = 27,194 : x
  2. Step 2: Convert to fraction form
    19,831/27,194 = 27,194/x
  3. Step 3: Cross multiply
    19,831x = 27,194 × 27,194
  4. Step 4: Simplify right side
    19,831x = 739,513,636
  5. Step 5: Solve for x
    x = 739,513,636/19,831
  6. Step 6: Final answer
    x = 37,290.79

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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.