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Finding the Third Proportional to 3,219.75 and 7,754.06

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Solution

The third proportional to 3,219.75 and 7,754.06 is: 18,673.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.75 : 7,754.06 = 7,754.06 : x
  2. Step 2: Convert to fraction form
    3,219.75/7,754.06 = 7,754.06/x
  3. Step 3: Cross multiply
    3,219.75x = 7,754.06 × 7,754.06
  4. Step 4: Simplify right side
    3,219.75x = 60,125,485.25
  5. Step 5: Solve for x
    x = 60,125,485.25/3,219.75
  6. Step 6: Final answer
    x = 18,673.96

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.