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Finding the Third Proportional to 3,269.82 and 7,097.07

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Solution

The third proportional to 3,269.82 and 7,097.07 is: 15,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.82 : 7,097.07 = 7,097.07 : x
  2. Step 2: Convert to fraction form
    3,269.82/7,097.07 = 7,097.07/x
  3. Step 3: Cross multiply
    3,269.82x = 7,097.07 × 7,097.07
  4. Step 4: Simplify right side
    3,269.82x = 50,368,420.88
  5. Step 5: Solve for x
    x = 50,368,420.88/3,269.82
  6. Step 6: Final answer
    x = 15,404.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.