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Finding the Third Proportional to 9,163.13 and 21,814.31

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Solution

The third proportional to 9,163.13 and 21,814.31 is: 51,932.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.13 : 21,814.31 = 21,814.31 : x
  2. Step 2: Convert to fraction form
    9,163.13/21,814.31 = 21,814.31/x
  3. Step 3: Cross multiply
    9,163.13x = 21,814.31 × 21,814.31
  4. Step 4: Simplify right side
    9,163.13x = 475,864,229.85
  5. Step 5: Solve for x
    x = 475,864,229.85/9,163.13
  6. Step 6: Final answer
    x = 51,932.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.