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Finding the Third Proportional to 961.75 and 2,092.25

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Solution

The third proportional to 961.75 and 2,092.25 is: 4,551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.75 : 2,092.25 = 2,092.25 : x
  2. Step 2: Convert to fraction form
    961.75/2,092.25 = 2,092.25/x
  3. Step 3: Cross multiply
    961.75x = 2,092.25 × 2,092.25
  4. Step 4: Simplify right side
    961.75x = 4,377,510.06
  5. Step 5: Solve for x
    x = 4,377,510.06/961.75
  6. Step 6: Final answer
    x = 4,551.61

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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.