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Finding the Third Proportional to 2,270.53 and 3,394.41

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Solution

The third proportional to 2,270.53 and 3,394.41 is: 5,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.53 : 3,394.41 = 3,394.41 : x
  2. Step 2: Convert to fraction form
    2,270.53/3,394.41 = 3,394.41/x
  3. Step 3: Cross multiply
    2,270.53x = 3,394.41 × 3,394.41
  4. Step 4: Simplify right side
    2,270.53x = 11,521,993.79
  5. Step 5: Solve for x
    x = 11,521,993.79/2,270.53
  6. Step 6: Final answer
    x = 5,074.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.