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Finding the Third Proportional to 3,950.06 and 8,174.02

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Solution

The third proportional to 3,950.06 and 8,174.02 is: 16,914.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.06 : 8,174.02 = 8,174.02 : x
  2. Step 2: Convert to fraction form
    3,950.06/8,174.02 = 8,174.02/x
  3. Step 3: Cross multiply
    3,950.06x = 8,174.02 × 8,174.02
  4. Step 4: Simplify right side
    3,950.06x = 66,814,591.31
  5. Step 5: Solve for x
    x = 66,814,591.31/3,950.06
  6. Step 6: Final answer
    x = 16,914.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.