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Finding the Third Proportional to 38,179.69 and 82,236.94

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Solution

The third proportional to 38,179.69 and 82,236.94 is: 177,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,179.69 : 82,236.94 = 82,236.94 : x
  2. Step 2: Convert to fraction form
    38,179.69/82,236.94 = 82,236.94/x
  3. Step 3: Cross multiply
    38,179.69x = 82,236.94 × 82,236.94
  4. Step 4: Simplify right side
    38,179.69x = 6,762,913,889.38
  5. Step 5: Solve for x
    x = 6,762,913,889.38/38,179.69
  6. Step 6: Final answer
    x = 177,133.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.