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Finding the Third Proportional to 6,074 and 12,268

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Solution

The third proportional to 6,074 and 12,268 is: 24,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074 : 12,268 = 12,268 : x
  2. Step 2: Convert to fraction form
    6,074/12,268 = 12,268/x
  3. Step 3: Cross multiply
    6,074x = 12,268 × 12,268
  4. Step 4: Simplify right side
    6,074x = 150,503,824
  5. Step 5: Solve for x
    x = 150,503,824/6,074
  6. Step 6: Final answer
    x = 24,778.37

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.