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Finding the Third Proportional to 3,703.22 and 8,020.27

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Solution

The third proportional to 3,703.22 and 8,020.27 is: 17,369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,703.22 : 8,020.27 = 8,020.27 : x
  2. Step 2: Convert to fraction form
    3,703.22/8,020.27 = 8,020.27/x
  3. Step 3: Cross multiply
    3,703.22x = 8,020.27 × 8,020.27
  4. Step 4: Simplify right side
    3,703.22x = 64,324,660.70
  5. Step 5: Solve for x
    x = 64,324,660.70/3,703.22
  6. Step 6: Final answer
    x = 17,369.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.