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Finding the Third Proportional to 2,647.69 and 3,974.06

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Solution

The third proportional to 2,647.69 and 3,974.06 is: 5,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.69 : 3,974.06 = 3,974.06 : x
  2. Step 2: Convert to fraction form
    2,647.69/3,974.06 = 3,974.06/x
  3. Step 3: Cross multiply
    2,647.69x = 3,974.06 × 3,974.06
  4. Step 4: Simplify right side
    2,647.69x = 15,793,172.75
  5. Step 5: Solve for x
    x = 15,793,172.75/2,647.69
  6. Step 6: Final answer
    x = 5,964.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.