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Finding the Third Proportional to 5,906.25 and 9,163.13

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Solution

The third proportional to 5,906.25 and 9,163.13 is: 14,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.25 : 9,163.13 = 9,163.13 : x
  2. Step 2: Convert to fraction form
    5,906.25/9,163.13 = 9,163.13/x
  3. Step 3: Cross multiply
    5,906.25x = 9,163.13 × 9,163.13
  4. Step 4: Simplify right side
    5,906.25x = 83,962,859.77
  5. Step 5: Solve for x
    x = 83,962,859.77/5,906.25
  6. Step 6: Final answer
    x = 14,215.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.