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Finding the Third Proportional to 38,253.38 and 82,861.88

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Solution

The third proportional to 38,253.38 and 82,861.88 is: 179,489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,253.38 : 82,861.88 = 82,861.88 : x
  2. Step 2: Convert to fraction form
    38,253.38/82,861.88 = 82,861.88/x
  3. Step 3: Cross multiply
    38,253.38x = 82,861.88 × 82,861.88
  4. Step 4: Simplify right side
    38,253.38x = 6,866,090,328.52
  5. Step 5: Solve for x
    x = 6,866,090,328.52/38,253.38
  6. Step 6: Final answer
    x = 179,489.79

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