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Finding the Third Proportional to 18,176 and 38,012

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Solution

The third proportional to 18,176 and 38,012 is: 79,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,176 : 38,012 = 38,012 : x
  2. Step 2: Convert to fraction form
    18,176/38,012 = 38,012/x
  3. Step 3: Cross multiply
    18,176x = 38,012 × 38,012
  4. Step 4: Simplify right side
    18,176x = 1,444,912,144
  5. Step 5: Solve for x
    x = 1,444,912,144/18,176
  6. Step 6: Final answer
    x = 79,495.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.