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Finding the Third Proportional to 2,611.69 and 3,950.44

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Solution

The third proportional to 2,611.69 and 3,950.44 is: 5,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.69 : 3,950.44 = 3,950.44 : x
  2. Step 2: Convert to fraction form
    2,611.69/3,950.44 = 3,950.44/x
  3. Step 3: Cross multiply
    2,611.69x = 3,950.44 × 3,950.44
  4. Step 4: Simplify right side
    2,611.69x = 15,605,956.44
  5. Step 5: Solve for x
    x = 15,605,956.44/2,611.69
  6. Step 6: Final answer
    x = 5,975.43

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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.