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Finding the Third Proportional to 2,604.09 and 4,033.41

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Solution

The third proportional to 2,604.09 and 4,033.41 is: 6,247.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.09 : 4,033.41 = 4,033.41 : x
  2. Step 2: Convert to fraction form
    2,604.09/4,033.41 = 4,033.41/x
  3. Step 3: Cross multiply
    2,604.09x = 4,033.41 × 4,033.41
  4. Step 4: Simplify right side
    2,604.09x = 16,268,365.98
  5. Step 5: Solve for x
    x = 16,268,365.98/2,604.09
  6. Step 6: Final answer
    x = 6,247.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.