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Finding the Third Proportional to 10,469 and 11,279

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Solution

The third proportional to 10,469 and 11,279 is: 12,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469 : 11,279 = 11,279 : x
  2. Step 2: Convert to fraction form
    10,469/11,279 = 11,279/x
  3. Step 3: Cross multiply
    10,469x = 11,279 × 11,279
  4. Step 4: Simplify right side
    10,469x = 127,215,841
  5. Step 5: Solve for x
    x = 127,215,841/10,469
  6. Step 6: Final answer
    x = 12,151.67

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.