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Finding the Third Proportional to 11,911 and 26,857

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Solution

The third proportional to 11,911 and 26,857 is: 60,557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,911 : 26,857 = 26,857 : x
  2. Step 2: Convert to fraction form
    11,911/26,857 = 26,857/x
  3. Step 3: Cross multiply
    11,911x = 26,857 × 26,857
  4. Step 4: Simplify right side
    11,911x = 721,298,449
  5. Step 5: Solve for x
    x = 721,298,449/11,911
  6. Step 6: Final answer
    x = 60,557.34

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.