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Finding the Third Proportional to 3,822.94 and 6,082.31

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Solution

The third proportional to 3,822.94 and 6,082.31 is: 9,676.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.94 : 6,082.31 = 6,082.31 : x
  2. Step 2: Convert to fraction form
    3,822.94/6,082.31 = 6,082.31/x
  3. Step 3: Cross multiply
    3,822.94x = 6,082.31 × 6,082.31
  4. Step 4: Simplify right side
    3,822.94x = 36,994,525.35
  5. Step 5: Solve for x
    x = 36,994,525.35/3,822.94
  6. Step 6: Final answer
    x = 9,676.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.