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Finding the Third Proportional to 38,704.69 and 83,850.19

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Solution

The third proportional to 38,704.69 and 83,850.19 is: 181,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,704.69 : 83,850.19 = 83,850.19 : x
  2. Step 2: Convert to fraction form
    38,704.69/83,850.19 = 83,850.19/x
  3. Step 3: Cross multiply
    38,704.69x = 83,850.19 × 83,850.19
  4. Step 4: Simplify right side
    38,704.69x = 7,030,853,943.79
  5. Step 5: Solve for x
    x = 7,030,853,943.79/38,704.69
  6. Step 6: Final answer
    x = 181,653.81

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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.