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Finding the Third Proportional to 2,640.09 and 5,803.31

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Solution

The third proportional to 2,640.09 and 5,803.31 is: 12,756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.09 : 5,803.31 = 5,803.31 : x
  2. Step 2: Convert to fraction form
    2,640.09/5,803.31 = 5,803.31/x
  3. Step 3: Cross multiply
    2,640.09x = 5,803.31 × 5,803.31
  4. Step 4: Simplify right side
    2,640.09x = 33,678,435.97
  5. Step 5: Solve for x
    x = 33,678,435.97/2,640.09
  6. Step 6: Final answer
    x = 12,756.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.