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Finding the Third Proportional to 16,633 and 36,137

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Solution

The third proportional to 16,633 and 36,137 is: 78,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,633 : 36,137 = 36,137 : x
  2. Step 2: Convert to fraction form
    16,633/36,137 = 36,137/x
  3. Step 3: Cross multiply
    16,633x = 36,137 × 36,137
  4. Step 4: Simplify right side
    16,633x = 1,305,882,769
  5. Step 5: Solve for x
    x = 1,305,882,769/16,633
  6. Step 6: Final answer
    x = 78,511.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.