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Finding the Third Proportional to 3,496.13 and 7,769.25

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Solution

The third proportional to 3,496.13 and 7,769.25 is: 17,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.13 : 7,769.25 = 7,769.25 : x
  2. Step 2: Convert to fraction form
    3,496.13/7,769.25 = 7,769.25/x
  3. Step 3: Cross multiply
    3,496.13x = 7,769.25 × 7,769.25
  4. Step 4: Simplify right side
    3,496.13x = 60,361,245.56
  5. Step 5: Solve for x
    x = 60,361,245.56/3,496.13
  6. Step 6: Final answer
    x = 17,265.19

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.