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Finding the Third Proportional to 7,769.25 and 17,057.25

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Solution

The third proportional to 7,769.25 and 17,057.25 is: 37,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.25 : 17,057.25 = 17,057.25 : x
  2. Step 2: Convert to fraction form
    7,769.25/17,057.25 = 17,057.25/x
  3. Step 3: Cross multiply
    7,769.25x = 17,057.25 × 17,057.25
  4. Step 4: Simplify right side
    7,769.25x = 290,949,777.56
  5. Step 5: Solve for x
    x = 290,949,777.56/7,769.25
  6. Step 6: Final answer
    x = 37,448.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.