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Finding the Third Proportional to 27,448 and 55,868

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Solution

The third proportional to 27,448 and 55,868 is: 113,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,448 : 55,868 = 55,868 : x
  2. Step 2: Convert to fraction form
    27,448/55,868 = 55,868/x
  3. Step 3: Cross multiply
    27,448x = 55,868 × 55,868
  4. Step 4: Simplify right side
    27,448x = 3,121,233,424
  5. Step 5: Solve for x
    x = 3,121,233,424/27,448
  6. Step 6: Final answer
    x = 113,714.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.