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Finding the Third Proportional to 17,017 and 25,885

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Solution

The third proportional to 17,017 and 25,885 is: 39,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,017 : 25,885 = 25,885 : x
  2. Step 2: Convert to fraction form
    17,017/25,885 = 25,885/x
  3. Step 3: Cross multiply
    17,017x = 25,885 × 25,885
  4. Step 4: Simplify right side
    17,017x = 670,033,225
  5. Step 5: Solve for x
    x = 670,033,225/17,017
  6. Step 6: Final answer
    x = 39,374.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.