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Finding the Third Proportional to 6,216.75 and 8,616.38

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Solution

The third proportional to 6,216.75 and 8,616.38 is: 11,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.75 : 8,616.38 = 8,616.38 : x
  2. Step 2: Convert to fraction form
    6,216.75/8,616.38 = 8,616.38/x
  3. Step 3: Cross multiply
    6,216.75x = 8,616.38 × 8,616.38
  4. Step 4: Simplify right side
    6,216.75x = 74,241,918.14
  5. Step 5: Solve for x
    x = 74,241,918.14/6,216.75
  6. Step 6: Final answer
    x = 11,942.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.