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Finding the Third Proportional to 552.56 and 1,286.06

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Solution

The third proportional to 552.56 and 1,286.06 is: 2,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.56 : 1,286.06 = 1,286.06 : x
  2. Step 2: Convert to fraction form
    552.56/1,286.06 = 1,286.06/x
  3. Step 3: Cross multiply
    552.56x = 1,286.06 × 1,286.06
  4. Step 4: Simplify right side
    552.56x = 1,653,956.75
  5. Step 5: Solve for x
    x = 1,653,956.75/552.56
  6. Step 6: Final answer
    x = 2,993.25

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.