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Finding the Third Proportional to 6,186.38 and 8,697.38

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Solution

The third proportional to 6,186.38 and 8,697.38 is: 12,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.38 : 8,697.38 = 8,697.38 : x
  2. Step 2: Convert to fraction form
    6,186.38/8,697.38 = 8,697.38/x
  3. Step 3: Cross multiply
    6,186.38x = 8,697.38 × 8,697.38
  4. Step 4: Simplify right side
    6,186.38x = 75,644,331.89
  5. Step 5: Solve for x
    x = 75,644,331.89/6,186.38
  6. Step 6: Final answer
    x = 12,227.57

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.