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Finding the Third Proportional to 10,006 and 16,163

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Solution

The third proportional to 10,006 and 16,163 is: 26,108.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006 : 16,163 = 16,163 : x
  2. Step 2: Convert to fraction form
    10,006/16,163 = 16,163/x
  3. Step 3: Cross multiply
    10,006x = 16,163 × 16,163
  4. Step 4: Simplify right side
    10,006x = 261,242,569
  5. Step 5: Solve for x
    x = 261,242,569/10,006
  6. Step 6: Final answer
    x = 26,108.59

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.