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Finding the Third Proportional to 27,194 and 41,811

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Solution

The third proportional to 27,194 and 41,811 is: 64,284.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,194 : 41,811 = 41,811 : x
  2. Step 2: Convert to fraction form
    27,194/41,811 = 41,811/x
  3. Step 3: Cross multiply
    27,194x = 41,811 × 41,811
  4. Step 4: Simplify right side
    27,194x = 1,748,159,721
  5. Step 5: Solve for x
    x = 1,748,159,721/27,194
  6. Step 6: Final answer
    x = 64,284.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.