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Finding the Third Proportional to 3,207.09 and 7,450.73

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Solution

The third proportional to 3,207.09 and 7,450.73 is: 17,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.09 : 7,450.73 = 7,450.73 : x
  2. Step 2: Convert to fraction form
    3,207.09/7,450.73 = 7,450.73/x
  3. Step 3: Cross multiply
    3,207.09x = 7,450.73 × 7,450.73
  4. Step 4: Simplify right side
    3,207.09x = 55,513,442.73
  5. Step 5: Solve for x
    x = 55,513,442.73/3,207.09
  6. Step 6: Final answer
    x = 17,309.58

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.