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Finding the Third Proportional to 5,822.19 and 8,230.38

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Solution

The third proportional to 5,822.19 and 8,230.38 is: 11,634.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.19 : 8,230.38 = 8,230.38 : x
  2. Step 2: Convert to fraction form
    5,822.19/8,230.38 = 8,230.38/x
  3. Step 3: Cross multiply
    5,822.19x = 8,230.38 × 8,230.38
  4. Step 4: Simplify right side
    5,822.19x = 67,739,072.64
  5. Step 5: Solve for x
    x = 67,739,072.64/5,822.19
  6. Step 6: Final answer
    x = 11,634.64

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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.