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Finding the Third Proportional to 6,189 and 13,611

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Solution

The third proportional to 6,189 and 13,611 is: 29,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189 : 13,611 = 13,611 : x
  2. Step 2: Convert to fraction form
    6,189/13,611 = 13,611/x
  3. Step 3: Cross multiply
    6,189x = 13,611 × 13,611
  4. Step 4: Simplify right side
    6,189x = 185,259,321
  5. Step 5: Solve for x
    x = 185,259,321/6,189
  6. Step 6: Final answer
    x = 29,933.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.