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Finding the Third Proportional to 17,702 and 27,172

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Solution

The third proportional to 17,702 and 27,172 is: 41,708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702 : 27,172 = 27,172 : x
  2. Step 2: Convert to fraction form
    17,702/27,172 = 27,172/x
  3. Step 3: Cross multiply
    17,702x = 27,172 × 27,172
  4. Step 4: Simplify right side
    17,702x = 738,317,584
  5. Step 5: Solve for x
    x = 738,317,584/17,702
  6. Step 6: Final answer
    x = 41,708.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.