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Finding the Third Proportional to 6,939.75 and 10,367.25

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Solution

The third proportional to 6,939.75 and 10,367.25 is: 15,487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.75 : 10,367.25 = 10,367.25 : x
  2. Step 2: Convert to fraction form
    6,939.75/10,367.25 = 10,367.25/x
  3. Step 3: Cross multiply
    6,939.75x = 10,367.25 × 10,367.25
  4. Step 4: Simplify right side
    6,939.75x = 107,479,872.56
  5. Step 5: Solve for x
    x = 107,479,872.56/6,939.75
  6. Step 6: Final answer
    x = 15,487.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.