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Finding the Third Proportional to 17,002 and 23,899

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Solution

The third proportional to 17,002 and 23,899 is: 33,593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002 : 23,899 = 23,899 : x
  2. Step 2: Convert to fraction form
    17,002/23,899 = 23,899/x
  3. Step 3: Cross multiply
    17,002x = 23,899 × 23,899
  4. Step 4: Simplify right side
    17,002x = 571,162,201
  5. Step 5: Solve for x
    x = 571,162,201/17,002
  6. Step 6: Final answer
    x = 33,593.82

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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.