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Finding the Third Proportional to 3,014.09 and 6,611.78

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Solution

The third proportional to 3,014.09 and 6,611.78 is: 14,503.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.09 : 6,611.78 = 6,611.78 : x
  2. Step 2: Convert to fraction form
    3,014.09/6,611.78 = 6,611.78/x
  3. Step 3: Cross multiply
    3,014.09x = 6,611.78 × 6,611.78
  4. Step 4: Simplify right side
    3,014.09x = 43,715,677.13
  5. Step 5: Solve for x
    x = 43,715,677.13/3,014.09
  6. Step 6: Final answer
    x = 14,503.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.