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Finding the Third Proportional to 27,742 and 39,254

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Solution

The third proportional to 27,742 and 39,254 is: 55,543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742 : 39,254 = 39,254 : x
  2. Step 2: Convert to fraction form
    27,742/39,254 = 39,254/x
  3. Step 3: Cross multiply
    27,742x = 39,254 × 39,254
  4. Step 4: Simplify right side
    27,742x = 1,540,876,516
  5. Step 5: Solve for x
    x = 1,540,876,516/27,742
  6. Step 6: Final answer
    x = 55,543.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.