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Finding the Third Proportional to 3,450.94 and 5,185.69

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Solution

The third proportional to 3,450.94 and 5,185.69 is: 7,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.94 : 5,185.69 = 5,185.69 : x
  2. Step 2: Convert to fraction form
    3,450.94/5,185.69 = 5,185.69/x
  3. Step 3: Cross multiply
    3,450.94x = 5,185.69 × 5,185.69
  4. Step 4: Simplify right side
    3,450.94x = 26,891,354.85
  5. Step 5: Solve for x
    x = 26,891,354.85/3,450.94
  6. Step 6: Final answer
    x = 7,792.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.