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Finding the Third Proportional to 10,261.69 and 11,233.69

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Solution

The third proportional to 10,261.69 and 11,233.69 is: 12,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.69 : 11,233.69 = 11,233.69 : x
  2. Step 2: Convert to fraction form
    10,261.69/11,233.69 = 11,233.69/x
  3. Step 3: Cross multiply
    10,261.69x = 11,233.69 × 11,233.69
  4. Step 4: Simplify right side
    10,261.69x = 126,195,734.85
  5. Step 5: Solve for x
    x = 126,195,734.85/10,261.69
  6. Step 6: Final answer
    x = 12,297.76

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.