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Finding the Third Proportional to 2,204.09 and 3,314.67

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Solution

The third proportional to 2,204.09 and 3,314.67 is: 4,984.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.09 : 3,314.67 = 3,314.67 : x
  2. Step 2: Convert to fraction form
    2,204.09/3,314.67 = 3,314.67/x
  3. Step 3: Cross multiply
    2,204.09x = 3,314.67 × 3,314.67
  4. Step 4: Simplify right side
    2,204.09x = 10,987,049.64
  5. Step 5: Solve for x
    x = 10,987,049.64/2,204.09
  6. Step 6: Final answer
    x = 4,984.86

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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.