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Finding the Third Proportional to 11,163 and 16,889

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Solution

The third proportional to 11,163 and 16,889 is: 25,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163 : 16,889 = 16,889 : x
  2. Step 2: Convert to fraction form
    11,163/16,889 = 16,889/x
  3. Step 3: Cross multiply
    11,163x = 16,889 × 16,889
  4. Step 4: Simplify right side
    11,163x = 285,238,321
  5. Step 5: Solve for x
    x = 285,238,321/11,163
  6. Step 6: Final answer
    x = 25,552.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.