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Finding the Third Proportional to 17,796 and 23,766

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Solution

The third proportional to 17,796 and 23,766 is: 31,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,796 : 23,766 = 23,766 : x
  2. Step 2: Convert to fraction form
    17,796/23,766 = 23,766/x
  3. Step 3: Cross multiply
    17,796x = 23,766 × 23,766
  4. Step 4: Simplify right side
    17,796x = 564,822,756
  5. Step 5: Solve for x
    x = 564,822,756/17,796
  6. Step 6: Final answer
    x = 31,738.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.