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Finding the Third Proportional to 17,204 and 26,952

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Solution

The third proportional to 17,204 and 26,952 is: 42,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204 : 26,952 = 26,952 : x
  2. Step 2: Convert to fraction form
    17,204/26,952 = 26,952/x
  3. Step 3: Cross multiply
    17,204x = 26,952 × 26,952
  4. Step 4: Simplify right side
    17,204x = 726,410,304
  5. Step 5: Solve for x
    x = 726,410,304/17,204
  6. Step 6: Final answer
    x = 42,223.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.