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Finding the Third Proportional to 17,690 and 27,611

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Solution

The third proportional to 17,690 and 27,611 is: 43,095.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,690 : 27,611 = 27,611 : x
  2. Step 2: Convert to fraction form
    17,690/27,611 = 27,611/x
  3. Step 3: Cross multiply
    17,690x = 27,611 × 27,611
  4. Step 4: Simplify right side
    17,690x = 762,367,321
  5. Step 5: Solve for x
    x = 762,367,321/17,690
  6. Step 6: Final answer
    x = 43,095.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.