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Finding the Third Proportional to 961.97 and 2,099.44

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Solution

The third proportional to 961.97 and 2,099.44 is: 4,581.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.97 : 2,099.44 = 2,099.44 : x
  2. Step 2: Convert to fraction form
    961.97/2,099.44 = 2,099.44/x
  3. Step 3: Cross multiply
    961.97x = 2,099.44 × 2,099.44
  4. Step 4: Simplify right side
    961.97x = 4,407,637.82
  5. Step 5: Solve for x
    x = 4,407,637.82/961.97
  6. Step 6: Final answer
    x = 4,581.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.