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Finding the Third Proportional to 8,229.37 and 17,707.79

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Solution

The third proportional to 8,229.37 and 17,707.79 is: 38,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.37 : 17,707.79 = 17,707.79 : x
  2. Step 2: Convert to fraction form
    8,229.37/17,707.79 = 17,707.79/x
  3. Step 3: Cross multiply
    8,229.37x = 17,707.79 × 17,707.79
  4. Step 4: Simplify right side
    8,229.37x = 313,565,983.70
  5. Step 5: Solve for x
    x = 313,565,983.70/8,229.37
  6. Step 6: Final answer
    x = 38,103.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.