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Finding the Third Proportional to 3,449.11 and 5,184.21

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Solution

The third proportional to 3,449.11 and 5,184.21 is: 7,792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.11 : 5,184.21 = 5,184.21 : x
  2. Step 2: Convert to fraction form
    3,449.11/5,184.21 = 5,184.21/x
  3. Step 3: Cross multiply
    3,449.11x = 5,184.21 × 5,184.21
  4. Step 4: Simplify right side
    3,449.11x = 26,876,043.04
  5. Step 5: Solve for x
    x = 26,876,043.04/3,449.11
  6. Step 6: Final answer
    x = 7,792.17

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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.