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Finding the Third Proportional to 16,933 and 37,147

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Solution

The third proportional to 16,933 and 37,147 is: 81,491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,933 : 37,147 = 37,147 : x
  2. Step 2: Convert to fraction form
    16,933/37,147 = 37,147/x
  3. Step 3: Cross multiply
    16,933x = 37,147 × 37,147
  4. Step 4: Simplify right side
    16,933x = 1,379,899,609
  5. Step 5: Solve for x
    x = 1,379,899,609/16,933
  6. Step 6: Final answer
    x = 81,491.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.