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Finding the Third Proportional to 2,571.66 and 3,840.61

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Solution

The third proportional to 2,571.66 and 3,840.61 is: 5,735.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.66 : 3,840.61 = 3,840.61 : x
  2. Step 2: Convert to fraction form
    2,571.66/3,840.61 = 3,840.61/x
  3. Step 3: Cross multiply
    2,571.66x = 3,840.61 × 3,840.61
  4. Step 4: Simplify right side
    2,571.66x = 14,750,280.37
  5. Step 5: Solve for x
    x = 14,750,280.37/2,571.66
  6. Step 6: Final answer
    x = 5,735.71

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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.