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Finding the Third Proportional to 1,352.81 and 2,734.03

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Solution

The third proportional to 1,352.81 and 2,734.03 is: 5,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.81 : 2,734.03 = 2,734.03 : x
  2. Step 2: Convert to fraction form
    1,352.81/2,734.03 = 2,734.03/x
  3. Step 3: Cross multiply
    1,352.81x = 2,734.03 × 2,734.03
  4. Step 4: Simplify right side
    1,352.81x = 7,474,926.88
  5. Step 5: Solve for x
    x = 7,474,926.88/1,352.81
  6. Step 6: Final answer
    x = 5,525.47

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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.