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Finding the Third Proportional to 3,880.41 and 5,935.78

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Solution

The third proportional to 3,880.41 and 5,935.78 is: 9,079.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.41 : 5,935.78 = 5,935.78 : x
  2. Step 2: Convert to fraction form
    3,880.41/5,935.78 = 5,935.78/x
  3. Step 3: Cross multiply
    3,880.41x = 5,935.78 × 5,935.78
  4. Step 4: Simplify right side
    3,880.41x = 35,233,499.05
  5. Step 5: Solve for x
    x = 35,233,499.05/3,880.41
  6. Step 6: Final answer
    x = 9,079.85

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.