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Finding the Third Proportional to 6,135.75 and 8,157.38

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Solution

The third proportional to 6,135.75 and 8,157.38 is: 10,845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.75 : 8,157.38 = 8,157.38 : x
  2. Step 2: Convert to fraction form
    6,135.75/8,157.38 = 8,157.38/x
  3. Step 3: Cross multiply
    6,135.75x = 8,157.38 × 8,157.38
  4. Step 4: Simplify right side
    6,135.75x = 66,542,766.89
  5. Step 5: Solve for x
    x = 66,542,766.89/6,135.75
  6. Step 6: Final answer
    x = 10,845.09

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.