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Finding the Third Proportional to 27,944 and 56,698

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Solution

The third proportional to 27,944 and 56,698 is: 115,039.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,944 : 56,698 = 56,698 : x
  2. Step 2: Convert to fraction form
    27,944/56,698 = 56,698/x
  3. Step 3: Cross multiply
    27,944x = 56,698 × 56,698
  4. Step 4: Simplify right side
    27,944x = 3,214,663,204
  5. Step 5: Solve for x
    x = 3,214,663,204/27,944
  6. Step 6: Final answer
    x = 115,039.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.