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Finding the Third Proportional to 17,885 and 25,795

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Solution

The third proportional to 17,885 and 25,795 is: 37,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,885 : 25,795 = 25,795 : x
  2. Step 2: Convert to fraction form
    17,885/25,795 = 25,795/x
  3. Step 3: Cross multiply
    17,885x = 25,795 × 25,795
  4. Step 4: Simplify right side
    17,885x = 665,382,025
  5. Step 5: Solve for x
    x = 665,382,025/17,885
  6. Step 6: Final answer
    x = 37,203.36

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.