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Finding the Third Proportional to 18,175 and 37,018

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Solution

The third proportional to 18,175 and 37,018 is: 75,396.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,175 : 37,018 = 37,018 : x
  2. Step 2: Convert to fraction form
    18,175/37,018 = 37,018/x
  3. Step 3: Cross multiply
    18,175x = 37,018 × 37,018
  4. Step 4: Simplify right side
    18,175x = 1,370,332,324
  5. Step 5: Solve for x
    x = 1,370,332,324/18,175
  6. Step 6: Final answer
    x = 75,396.55

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.