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Finding the Third Proportional to 17,174 and 25,802

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Solution

The third proportional to 17,174 and 25,802 is: 38,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,174 : 25,802 = 25,802 : x
  2. Step 2: Convert to fraction form
    17,174/25,802 = 25,802/x
  3. Step 3: Cross multiply
    17,174x = 25,802 × 25,802
  4. Step 4: Simplify right side
    17,174x = 665,743,204
  5. Step 5: Solve for x
    x = 665,743,204/17,174
  6. Step 6: Final answer
    x = 38,764.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.