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Finding the Third Proportional to 1,033.31 and 2,271.94

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Solution

The third proportional to 1,033.31 and 2,271.94 is: 4,995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.31 : 2,271.94 = 2,271.94 : x
  2. Step 2: Convert to fraction form
    1,033.31/2,271.94 = 2,271.94/x
  3. Step 3: Cross multiply
    1,033.31x = 2,271.94 × 2,271.94
  4. Step 4: Simplify right side
    1,033.31x = 5,161,700.00
  5. Step 5: Solve for x
    x = 5,161,700.00/1,033.31
  6. Step 6: Final answer
    x = 4,995.29

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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.