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Finding the Third Proportional to 859.69 and 1,822.31

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Solution

The third proportional to 859.69 and 1,822.31 is: 3,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.69 : 1,822.31 = 1,822.31 : x
  2. Step 2: Convert to fraction form
    859.69/1,822.31 = 1,822.31/x
  3. Step 3: Cross multiply
    859.69x = 1,822.31 × 1,822.31
  4. Step 4: Simplify right side
    859.69x = 3,320,822.85
  5. Step 5: Solve for x
    x = 3,320,822.85/859.69
  6. Step 6: Final answer
    x = 3,862.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.