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Finding the Third Proportional to 12,815 and 27,175

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Solution

The third proportional to 12,815 and 27,175 is: 57,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,815 : 27,175 = 27,175 : x
  2. Step 2: Convert to fraction form
    12,815/27,175 = 27,175/x
  3. Step 3: Cross multiply
    12,815x = 27,175 × 27,175
  4. Step 4: Simplify right side
    12,815x = 738,480,625
  5. Step 5: Solve for x
    x = 738,480,625/12,815
  6. Step 6: Final answer
    x = 57,626.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.