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Finding the Third Proportional to 27,259 and 55,622

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Solution

The third proportional to 27,259 and 55,622 is: 113,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,259 : 55,622 = 55,622 : x
  2. Step 2: Convert to fraction form
    27,259/55,622 = 55,622/x
  3. Step 3: Cross multiply
    27,259x = 55,622 × 55,622
  4. Step 4: Simplify right side
    27,259x = 3,093,806,884
  5. Step 5: Solve for x
    x = 3,093,806,884/27,259
  6. Step 6: Final answer
    x = 113,496.71

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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.