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Finding the Third Proportional to 10,256 and 11,084

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Solution

The third proportional to 10,256 and 11,084 is: 11,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256 : 11,084 = 11,084 : x
  2. Step 2: Convert to fraction form
    10,256/11,084 = 11,084/x
  3. Step 3: Cross multiply
    10,256x = 11,084 × 11,084
  4. Step 4: Simplify right side
    10,256x = 122,855,056
  5. Step 5: Solve for x
    x = 122,855,056/10,256
  6. Step 6: Final answer
    x = 11,978.85

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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.