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Finding the Third Proportional to 38,245.92 and 83,296.48

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Solution

The third proportional to 38,245.92 and 83,296.48 is: 181,412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245.92 : 83,296.48 = 83,296.48 : x
  2. Step 2: Convert to fraction form
    38,245.92/83,296.48 = 83,296.48/x
  3. Step 3: Cross multiply
    38,245.92x = 83,296.48 × 83,296.48
  4. Step 4: Simplify right side
    38,245.92x = 6,938,303,007.73
  5. Step 5: Solve for x
    x = 6,938,303,007.73/38,245.92
  6. Step 6: Final answer
    x = 181,412.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.