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Finding the Third Proportional to 2,640.94 and 3,980.81

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Solution

The third proportional to 2,640.94 and 3,980.81 is: 6,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.94 : 3,980.81 = 3,980.81 : x
  2. Step 2: Convert to fraction form
    2,640.94/3,980.81 = 3,980.81/x
  3. Step 3: Cross multiply
    2,640.94x = 3,980.81 × 3,980.81
  4. Step 4: Simplify right side
    2,640.94x = 15,846,868.16
  5. Step 5: Solve for x
    x = 15,846,868.16/2,640.94
  6. Step 6: Final answer
    x = 6,000.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.