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Finding the Third Proportional to 1,535.36 and 3,378.27

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Solution

The third proportional to 1,535.36 and 3,378.27 is: 7,433.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.36 : 3,378.27 = 3,378.27 : x
  2. Step 2: Convert to fraction form
    1,535.36/3,378.27 = 3,378.27/x
  3. Step 3: Cross multiply
    1,535.36x = 3,378.27 × 3,378.27
  4. Step 4: Simplify right side
    1,535.36x = 11,412,705.03
  5. Step 5: Solve for x
    x = 11,412,705.03/1,535.36
  6. Step 6: Final answer
    x = 7,433.24

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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.