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Finding the Third Proportional to 16,931 and 37,183

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Solution

The third proportional to 16,931 and 37,183 is: 81,659.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,931 : 37,183 = 37,183 : x
  2. Step 2: Convert to fraction form
    16,931/37,183 = 37,183/x
  3. Step 3: Cross multiply
    16,931x = 37,183 × 37,183
  4. Step 4: Simplify right side
    16,931x = 1,382,575,489
  5. Step 5: Solve for x
    x = 1,382,575,489/16,931
  6. Step 6: Final answer
    x = 81,659.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.