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Finding the Third Proportional to 961.56 and 1,956.02

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Solution

The third proportional to 961.56 and 1,956.02 is: 3,978.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.56 : 1,956.02 = 1,956.02 : x
  2. Step 2: Convert to fraction form
    961.56/1,956.02 = 1,956.02/x
  3. Step 3: Cross multiply
    961.56x = 1,956.02 × 1,956.02
  4. Step 4: Simplify right side
    961.56x = 3,826,027.69
  5. Step 5: Solve for x
    x = 3,826,027.69/961.56
  6. Step 6: Final answer
    x = 3,978.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.