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Finding the Third Proportional to 7,644 and 8,268

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Solution

The third proportional to 7,644 and 8,268 is: 8,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644 : 8,268 = 8,268 : x
  2. Step 2: Convert to fraction form
    7,644/8,268 = 8,268/x
  3. Step 3: Cross multiply
    7,644x = 8,268 × 8,268
  4. Step 4: Simplify right side
    7,644x = 68,359,824
  5. Step 5: Solve for x
    x = 68,359,824/7,644
  6. Step 6: Final answer
    x = 8,942.94

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.