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Finding the Third Proportional to 1,950.19 and 4,247.44

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Solution

The third proportional to 1,950.19 and 4,247.44 is: 9,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.19 : 4,247.44 = 4,247.44 : x
  2. Step 2: Convert to fraction form
    1,950.19/4,247.44 = 4,247.44/x
  3. Step 3: Cross multiply
    1,950.19x = 4,247.44 × 4,247.44
  4. Step 4: Simplify right side
    1,950.19x = 18,040,725.32
  5. Step 5: Solve for x
    x = 18,040,725.32/1,950.19
  6. Step 6: Final answer
    x = 9,250.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.