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Finding the Third Proportional to 3,822.75 and 9,205.88

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Solution

The third proportional to 3,822.75 and 9,205.88 is: 22,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.75 : 9,205.88 = 9,205.88 : x
  2. Step 2: Convert to fraction form
    3,822.75/9,205.88 = 9,205.88/x
  3. Step 3: Cross multiply
    3,822.75x = 9,205.88 × 9,205.88
  4. Step 4: Simplify right side
    3,822.75x = 84,748,134.52
  5. Step 5: Solve for x
    x = 84,748,134.52/3,822.75
  6. Step 6: Final answer
    x = 22,169.42

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.