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Finding the Third Proportional to 16,927 and 37,135

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Solution

The third proportional to 16,927 and 37,135 is: 81,467.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,927 : 37,135 = 37,135 : x
  2. Step 2: Convert to fraction form
    16,927/37,135 = 37,135/x
  3. Step 3: Cross multiply
    16,927x = 37,135 × 37,135
  4. Step 4: Simplify right side
    16,927x = 1,379,008,225
  5. Step 5: Solve for x
    x = 1,379,008,225/16,927
  6. Step 6: Final answer
    x = 81,467.96

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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.