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Finding the Third Proportional to 9,831 and 21,229.50

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Solution

The third proportional to 9,831 and 21,229.50 is: 45,843.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831 : 21,229.50 = 21,229.50 : x
  2. Step 2: Convert to fraction form
    9,831/21,229.50 = 21,229.50/x
  3. Step 3: Cross multiply
    9,831x = 21,229.50 × 21,229.50
  4. Step 4: Simplify right side
    9,831x = 450,691,670.25
  5. Step 5: Solve for x
    x = 450,691,670.25/9,831
  6. Step 6: Final answer
    x = 45,843.93

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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.