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Finding the Third Proportional to 9,831 and 21,227.25

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Solution

The third proportional to 9,831 and 21,227.25 is: 45,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831 : 21,227.25 = 21,227.25 : x
  2. Step 2: Convert to fraction form
    9,831/21,227.25 = 21,227.25/x
  3. Step 3: Cross multiply
    9,831x = 21,227.25 × 21,227.25
  4. Step 4: Simplify right side
    9,831x = 450,596,142.56
  5. Step 5: Solve for x
    x = 450,596,142.56/9,831
  6. Step 6: Final answer
    x = 45,834.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.