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Finding the Third Proportional to 7,167.09 and 15,204.66

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Solution

The third proportional to 7,167.09 and 15,204.66 is: 32,255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.09 : 15,204.66 = 15,204.66 : x
  2. Step 2: Convert to fraction form
    7,167.09/15,204.66 = 15,204.66/x
  3. Step 3: Cross multiply
    7,167.09x = 15,204.66 × 15,204.66
  4. Step 4: Simplify right side
    7,167.09x = 231,181,571.68
  5. Step 5: Solve for x
    x = 231,181,571.68/7,167.09
  6. Step 6: Final answer
    x = 32,255.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.