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Finding the Third Proportional to 2,950.88 and 4,195.69

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Solution

The third proportional to 2,950.88 and 4,195.69 is: 5,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.88 : 4,195.69 = 4,195.69 : x
  2. Step 2: Convert to fraction form
    2,950.88/4,195.69 = 4,195.69/x
  3. Step 3: Cross multiply
    2,950.88x = 4,195.69 × 4,195.69
  4. Step 4: Simplify right side
    2,950.88x = 17,603,793.60
  5. Step 5: Solve for x
    x = 17,603,793.60/2,950.88
  6. Step 6: Final answer
    x = 5,965.62

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.