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Finding the Third Proportional to 6,361.88 and 8,233.31

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Solution

The third proportional to 6,361.88 and 8,233.31 is: 10,655.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.88 : 8,233.31 = 8,233.31 : x
  2. Step 2: Convert to fraction form
    6,361.88/8,233.31 = 8,233.31/x
  3. Step 3: Cross multiply
    6,361.88x = 8,233.31 × 8,233.31
  4. Step 4: Simplify right side
    6,361.88x = 67,787,434.72
  5. Step 5: Solve for x
    x = 67,787,434.72/6,361.88
  6. Step 6: Final answer
    x = 10,655.26

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.