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Finding the Third Proportional to 1,950.19 and 3,467.81

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Solution

The third proportional to 1,950.19 and 3,467.81 is: 6,166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.19 : 3,467.81 = 3,467.81 : x
  2. Step 2: Convert to fraction form
    1,950.19/3,467.81 = 3,467.81/x
  3. Step 3: Cross multiply
    1,950.19x = 3,467.81 × 3,467.81
  4. Step 4: Simplify right side
    1,950.19x = 12,025,723.54
  5. Step 5: Solve for x
    x = 12,025,723.54/1,950.19
  6. Step 6: Final answer
    x = 6,166.44

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.