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Finding the Third Proportional to 27,455 and 55,882

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Solution

The third proportional to 27,455 and 55,882 is: 113,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,455 : 55,882 = 55,882 : x
  2. Step 2: Convert to fraction form
    27,455/55,882 = 55,882/x
  3. Step 3: Cross multiply
    27,455x = 55,882 × 55,882
  4. Step 4: Simplify right side
    27,455x = 3,122,797,924
  5. Step 5: Solve for x
    x = 3,122,797,924/27,455
  6. Step 6: Final answer
    x = 113,742.41

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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.