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Finding the Third Proportional to 6,144 and 11,676

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Solution

The third proportional to 6,144 and 11,676 is: 22,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144 : 11,676 = 11,676 : x
  2. Step 2: Convert to fraction form
    6,144/11,676 = 11,676/x
  3. Step 3: Cross multiply
    6,144x = 11,676 × 11,676
  4. Step 4: Simplify right side
    6,144x = 136,328,976
  5. Step 5: Solve for x
    x = 136,328,976/6,144
  6. Step 6: Final answer
    x = 22,188.96

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.