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Finding the Third Proportional to 6,656 and 11,093

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Solution

The third proportional to 6,656 and 11,093 is: 18,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656 : 11,093 = 11,093 : x
  2. Step 2: Convert to fraction form
    6,656/11,093 = 11,093/x
  3. Step 3: Cross multiply
    6,656x = 11,093 × 11,093
  4. Step 4: Simplify right side
    6,656x = 123,054,649
  5. Step 5: Solve for x
    x = 123,054,649/6,656
  6. Step 6: Final answer
    x = 18,487.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.