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Finding the Third Proportional to 6,197 and 11,611

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Solution

The third proportional to 6,197 and 11,611 is: 21,754.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197 : 11,611 = 11,611 : x
  2. Step 2: Convert to fraction form
    6,197/11,611 = 11,611/x
  3. Step 3: Cross multiply
    6,197x = 11,611 × 11,611
  4. Step 4: Simplify right side
    6,197x = 134,815,321
  5. Step 5: Solve for x
    x = 134,815,321/6,197
  6. Step 6: Final answer
    x = 21,754.93

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.