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Finding the Third Proportional to 6,396.75 and 14,028.75

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Solution

The third proportional to 6,396.75 and 14,028.75 is: 30,766.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.75 : 14,028.75 = 14,028.75 : x
  2. Step 2: Convert to fraction form
    6,396.75/14,028.75 = 14,028.75/x
  3. Step 3: Cross multiply
    6,396.75x = 14,028.75 × 14,028.75
  4. Step 4: Simplify right side
    6,396.75x = 196,805,826.56
  5. Step 5: Solve for x
    x = 196,805,826.56/6,396.75
  6. Step 6: Final answer
    x = 30,766.53

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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.