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Finding the Third Proportional to 17,279 and 35,855

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Solution

The third proportional to 17,279 and 35,855 is: 74,401.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,279 : 35,855 = 35,855 : x
  2. Step 2: Convert to fraction form
    17,279/35,855 = 35,855/x
  3. Step 3: Cross multiply
    17,279x = 35,855 × 35,855
  4. Step 4: Simplify right side
    17,279x = 1,285,581,025
  5. Step 5: Solve for x
    x = 1,285,581,025/17,279
  6. Step 6: Final answer
    x = 74,401.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.