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Finding the Third Proportional to 2,758.69 and 4,163.81

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Solution

The third proportional to 2,758.69 and 4,163.81 is: 6,284.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.69 : 4,163.81 = 4,163.81 : x
  2. Step 2: Convert to fraction form
    2,758.69/4,163.81 = 4,163.81/x
  3. Step 3: Cross multiply
    2,758.69x = 4,163.81 × 4,163.81
  4. Step 4: Simplify right side
    2,758.69x = 17,337,334.54
  5. Step 5: Solve for x
    x = 17,337,334.54/2,758.69
  6. Step 6: Final answer
    x = 6,284.63

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Why These Related Problems?

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