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Finding the Third Proportional to 38,853.42 and 83,909.04

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Solution

The third proportional to 38,853.42 and 83,909.04 is: 181,212.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,853.42 : 83,909.04 = 83,909.04 : x
  2. Step 2: Convert to fraction form
    38,853.42/83,909.04 = 83,909.04/x
  3. Step 3: Cross multiply
    38,853.42x = 83,909.04 × 83,909.04
  4. Step 4: Simplify right side
    38,853.42x = 7,040,726,836.39
  5. Step 5: Solve for x
    x = 7,040,726,836.39/38,853.42
  6. Step 6: Final answer
    x = 181,212.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.