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Finding the Third Proportional to 30,268.69 and 61,769.25

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Solution

The third proportional to 30,268.69 and 61,769.25 is: 126,052.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268.69 : 61,769.25 = 61,769.25 : x
  2. Step 2: Convert to fraction form
    30,268.69/61,769.25 = 61,769.25/x
  3. Step 3: Cross multiply
    30,268.69x = 61,769.25 × 61,769.25
  4. Step 4: Simplify right side
    30,268.69x = 3,815,440,245.56
  5. Step 5: Solve for x
    x = 3,815,440,245.56/30,268.69
  6. Step 6: Final answer
    x = 126,052.38

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.