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Finding the Third Proportional to 16,167 and 21,831

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Solution

The third proportional to 16,167 and 21,831 is: 29,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,167 : 21,831 = 21,831 : x
  2. Step 2: Convert to fraction form
    16,167/21,831 = 21,831/x
  3. Step 3: Cross multiply
    16,167x = 21,831 × 21,831
  4. Step 4: Simplify right side
    16,167x = 476,592,561
  5. Step 5: Solve for x
    x = 476,592,561/16,167
  6. Step 6: Final answer
    x = 29,479.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.