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Finding the Third Proportional to 1,033.31 and 2,270.81

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Solution

The third proportional to 1,033.31 and 2,270.81 is: 4,990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.31 : 2,270.81 = 2,270.81 : x
  2. Step 2: Convert to fraction form
    1,033.31/2,270.81 = 2,270.81/x
  3. Step 3: Cross multiply
    1,033.31x = 2,270.81 × 2,270.81
  4. Step 4: Simplify right side
    1,033.31x = 5,156,589.41
  5. Step 5: Solve for x
    x = 5,156,589.41/1,033.31
  6. Step 6: Final answer
    x = 4,990.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.