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Finding the Third Proportional to 2,604.94 and 5,500.69

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Solution

The third proportional to 2,604.94 and 5,500.69 is: 11,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.94 : 5,500.69 = 5,500.69 : x
  2. Step 2: Convert to fraction form
    2,604.94/5,500.69 = 5,500.69/x
  3. Step 3: Cross multiply
    2,604.94x = 5,500.69 × 5,500.69
  4. Step 4: Simplify right side
    2,604.94x = 30,257,562.97
  5. Step 5: Solve for x
    x = 30,257,562.97/2,604.94
  6. Step 6: Final answer
    x = 11,615.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.