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Finding the Third Proportional to 12,105 and 24,831

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Solution

The third proportional to 12,105 and 24,831 is: 50,935.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105 : 24,831 = 24,831 : x
  2. Step 2: Convert to fraction form
    12,105/24,831 = 24,831/x
  3. Step 3: Cross multiply
    12,105x = 24,831 × 24,831
  4. Step 4: Simplify right side
    12,105x = 616,578,561
  5. Step 5: Solve for x
    x = 616,578,561/12,105
  6. Step 6: Final answer
    x = 50,935.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.