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Finding the Third Proportional to 7,227 and 11,079

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Solution

The third proportional to 7,227 and 11,079 is: 16,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227 : 11,079 = 11,079 : x
  2. Step 2: Convert to fraction form
    7,227/11,079 = 11,079/x
  3. Step 3: Cross multiply
    7,227x = 11,079 × 11,079
  4. Step 4: Simplify right side
    7,227x = 122,744,241
  5. Step 5: Solve for x
    x = 122,744,241/7,227
  6. Step 6: Final answer
    x = 16,984.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.