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Finding the Third Proportional to 4,377.94 and 6,571.41

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Solution

The third proportional to 4,377.94 and 6,571.41 is: 9,863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.94 : 6,571.41 = 6,571.41 : x
  2. Step 2: Convert to fraction form
    4,377.94/6,571.41 = 6,571.41/x
  3. Step 3: Cross multiply
    4,377.94x = 6,571.41 × 6,571.41
  4. Step 4: Simplify right side
    4,377.94x = 43,183,380.10
  5. Step 5: Solve for x
    x = 43,183,380.10/4,377.94
  6. Step 6: Final answer
    x = 9,863.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.