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Finding the Third Proportional to 3,500.02 and 7,324.17

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Solution

The third proportional to 3,500.02 and 7,324.17 is: 15,326.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,500.02 : 7,324.17 = 7,324.17 : x
  2. Step 2: Convert to fraction form
    3,500.02/7,324.17 = 7,324.17/x
  3. Step 3: Cross multiply
    3,500.02x = 7,324.17 × 7,324.17
  4. Step 4: Simplify right side
    3,500.02x = 53,643,493.65
  5. Step 5: Solve for x
    x = 53,643,493.65/3,500.02
  6. Step 6: Final answer
    x = 15,326.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.