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Finding the Third Proportional to 16,635 and 38,469

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Solution

The third proportional to 16,635 and 38,469 is: 88,960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,635 : 38,469 = 38,469 : x
  2. Step 2: Convert to fraction form
    16,635/38,469 = 38,469/x
  3. Step 3: Cross multiply
    16,635x = 38,469 × 38,469
  4. Step 4: Simplify right side
    16,635x = 1,479,863,961
  5. Step 5: Solve for x
    x = 1,479,863,961/16,635
  6. Step 6: Final answer
    x = 88,960.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.