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Finding the Third Proportional to 3,082.64 and 4,361.77

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Solution

The third proportional to 3,082.64 and 4,361.77 is: 6,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.64 : 4,361.77 = 4,361.77 : x
  2. Step 2: Convert to fraction form
    3,082.64/4,361.77 = 4,361.77/x
  3. Step 3: Cross multiply
    3,082.64x = 4,361.77 × 4,361.77
  4. Step 4: Simplify right side
    3,082.64x = 19,024,999.37
  5. Step 5: Solve for x
    x = 19,024,999.37/3,082.64
  6. Step 6: Final answer
    x = 6,171.66

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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.