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Finding the Third Proportional to 3,264.68 and 7,119.14

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Solution

The third proportional to 3,264.68 and 7,119.14 is: 15,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.68 : 7,119.14 = 7,119.14 : x
  2. Step 2: Convert to fraction form
    3,264.68/7,119.14 = 7,119.14/x
  3. Step 3: Cross multiply
    3,264.68x = 7,119.14 × 7,119.14
  4. Step 4: Simplify right side
    3,264.68x = 50,682,163.24
  5. Step 5: Solve for x
    x = 50,682,163.24/3,264.68
  6. Step 6: Final answer
    x = 15,524.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.