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Finding the Third Proportional to 3,322.27 and 7,176.09

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Solution

The third proportional to 3,322.27 and 7,176.09 is: 15,500.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.27 : 7,176.09 = 7,176.09 : x
  2. Step 2: Convert to fraction form
    3,322.27/7,176.09 = 7,176.09/x
  3. Step 3: Cross multiply
    3,322.27x = 7,176.09 × 7,176.09
  4. Step 4: Simplify right side
    3,322.27x = 51,496,321.51
  5. Step 5: Solve for x
    x = 51,496,321.51/3,322.27
  6. Step 6: Final answer
    x = 15,500.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.