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Finding the Third Proportional to 17,704 and 27,175

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Solution

The third proportional to 17,704 and 27,175 is: 41,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704 : 27,175 = 27,175 : x
  2. Step 2: Convert to fraction form
    17,704/27,175 = 27,175/x
  3. Step 3: Cross multiply
    17,704x = 27,175 × 27,175
  4. Step 4: Simplify right side
    17,704x = 738,480,625
  5. Step 5: Solve for x
    x = 738,480,625/17,704
  6. Step 6: Final answer
    x = 41,712.64

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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.