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Finding the Third Proportional to 16,813 and 23,758

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Solution

The third proportional to 16,813 and 23,758 is: 33,571.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813 : 23,758 = 23,758 : x
  2. Step 2: Convert to fraction form
    16,813/23,758 = 23,758/x
  3. Step 3: Cross multiply
    16,813x = 23,758 × 23,758
  4. Step 4: Simplify right side
    16,813x = 564,442,564
  5. Step 5: Solve for x
    x = 564,442,564/16,813
  6. Step 6: Final answer
    x = 33,571.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.