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Finding the Third Proportional to 5,422 and 11,150

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Solution

The third proportional to 5,422 and 11,150 is: 22,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422 : 11,150 = 11,150 : x
  2. Step 2: Convert to fraction form
    5,422/11,150 = 11,150/x
  3. Step 3: Cross multiply
    5,422x = 11,150 × 11,150
  4. Step 4: Simplify right side
    5,422x = 124,322,500
  5. Step 5: Solve for x
    x = 124,322,500/5,422
  6. Step 6: Final answer
    x = 22,929.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.