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Finding the Third Proportional to 6,149.25 and 13,361.63

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Solution

The third proportional to 6,149.25 and 13,361.63 is: 29,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.25 : 13,361.63 = 13,361.63 : x
  2. Step 2: Convert to fraction form
    6,149.25/13,361.63 = 13,361.63/x
  3. Step 3: Cross multiply
    6,149.25x = 13,361.63 × 13,361.63
  4. Step 4: Simplify right side
    6,149.25x = 178,533,022.64
  5. Step 5: Solve for x
    x = 178,533,022.64/6,149.25
  6. Step 6: Final answer
    x = 29,033.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.