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Finding the Third Proportional to 3,822.62 and 5,383.14

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Solution

The third proportional to 3,822.62 and 5,383.14 is: 7,580.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.62 : 5,383.14 = 5,383.14 : x
  2. Step 2: Convert to fraction form
    3,822.62/5,383.14 = 5,383.14/x
  3. Step 3: Cross multiply
    3,822.62x = 5,383.14 × 5,383.14
  4. Step 4: Simplify right side
    3,822.62x = 28,978,176.70
  5. Step 5: Solve for x
    x = 28,978,176.70/3,822.62
  6. Step 6: Final answer
    x = 7,580.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.