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Finding the Third Proportional to 38,137.25 and 82,835.75

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Solution

The third proportional to 38,137.25 and 82,835.75 is: 179,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,137.25 : 82,835.75 = 82,835.75 : x
  2. Step 2: Convert to fraction form
    38,137.25/82,835.75 = 82,835.75/x
  3. Step 3: Cross multiply
    38,137.25x = 82,835.75 × 82,835.75
  4. Step 4: Simplify right side
    38,137.25x = 6,861,761,478.06
  5. Step 5: Solve for x
    x = 6,861,761,478.06/38,137.25
  6. Step 6: Final answer
    x = 179,922.82

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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.