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Finding the Third Proportional to 3,950.44 and 5,950.69

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Solution

The third proportional to 3,950.44 and 5,950.69 is: 8,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.44 : 5,950.69 = 5,950.69 : x
  2. Step 2: Convert to fraction form
    3,950.44/5,950.69 = 5,950.69/x
  3. Step 3: Cross multiply
    3,950.44x = 5,950.69 × 5,950.69
  4. Step 4: Simplify right side
    3,950.44x = 35,410,681.72
  5. Step 5: Solve for x
    x = 35,410,681.72/3,950.44
  6. Step 6: Final answer
    x = 8,963.74

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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.