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Finding the Third Proportional to 3,110.91 and 7,207.31

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Solution

The third proportional to 3,110.91 and 7,207.31 is: 16,697.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.91 : 7,207.31 = 7,207.31 : x
  2. Step 2: Convert to fraction form
    3,110.91/7,207.31 = 7,207.31/x
  3. Step 3: Cross multiply
    3,110.91x = 7,207.31 × 7,207.31
  4. Step 4: Simplify right side
    3,110.91x = 51,945,353.47
  5. Step 5: Solve for x
    x = 51,945,353.47/3,110.91
  6. Step 6: Final answer
    x = 16,697.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.