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Finding the Third Proportional to 2,993.55 and 6,072.61

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Solution

The third proportional to 2,993.55 and 6,072.61 is: 12,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.55 : 6,072.61 = 6,072.61 : x
  2. Step 2: Convert to fraction form
    2,993.55/6,072.61 = 6,072.61/x
  3. Step 3: Cross multiply
    2,993.55x = 6,072.61 × 6,072.61
  4. Step 4: Simplify right side
    2,993.55x = 36,876,584.62
  5. Step 5: Solve for x
    x = 36,876,584.62/2,993.55
  6. Step 6: Final answer
    x = 12,318.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.