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Finding the Third Proportional to 6,369.75 and 11,868.75

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Solution

The third proportional to 6,369.75 and 11,868.75 is: 22,115.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.75 : 11,868.75 = 11,868.75 : x
  2. Step 2: Convert to fraction form
    6,369.75/11,868.75 = 11,868.75/x
  3. Step 3: Cross multiply
    6,369.75x = 11,868.75 × 11,868.75
  4. Step 4: Simplify right side
    6,369.75x = 140,867,226.56
  5. Step 5: Solve for x
    x = 140,867,226.56/6,369.75
  6. Step 6: Final answer
    x = 22,115.03

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.