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Finding the Third Proportional to 27,198 and 55,611

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Solution

The third proportional to 27,198 and 55,611 is: 113,706.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,198 : 55,611 = 55,611 : x
  2. Step 2: Convert to fraction form
    27,198/55,611 = 55,611/x
  3. Step 3: Cross multiply
    27,198x = 55,611 × 55,611
  4. Step 4: Simplify right side
    27,198x = 3,092,583,321
  5. Step 5: Solve for x
    x = 3,092,583,321/27,198
  6. Step 6: Final answer
    x = 113,706.28

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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.