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Finding the Third Proportional to 6,393 and 15,942.75

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Solution

The third proportional to 6,393 and 15,942.75 is: 39,757.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393 : 15,942.75 = 15,942.75 : x
  2. Step 2: Convert to fraction form
    6,393/15,942.75 = 15,942.75/x
  3. Step 3: Cross multiply
    6,393x = 15,942.75 × 15,942.75
  4. Step 4: Simplify right side
    6,393x = 254,171,277.56
  5. Step 5: Solve for x
    x = 254,171,277.56/6,393
  6. Step 6: Final answer
    x = 39,757.75

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These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.