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Finding the Third Proportional to 6,661.75 and 14,361.75

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Solution

The third proportional to 6,661.75 and 14,361.75 is: 30,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.75 : 14,361.75 = 14,361.75 : x
  2. Step 2: Convert to fraction form
    6,661.75/14,361.75 = 14,361.75/x
  3. Step 3: Cross multiply
    6,661.75x = 14,361.75 × 14,361.75
  4. Step 4: Simplify right side
    6,661.75x = 206,259,863.06
  5. Step 5: Solve for x
    x = 206,259,863.06/6,661.75
  6. Step 6: Final answer
    x = 30,961.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.