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Finding the Third Proportional to 27,944 and 39,500

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Solution

The third proportional to 27,944 and 39,500 is: 55,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,944 : 39,500 = 39,500 : x
  2. Step 2: Convert to fraction form
    27,944/39,500 = 39,500/x
  3. Step 3: Cross multiply
    27,944x = 39,500 × 39,500
  4. Step 4: Simplify right side
    27,944x = 1,560,250,000
  5. Step 5: Solve for x
    x = 1,560,250,000/27,944
  6. Step 6: Final answer
    x = 55,834.88

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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.