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Finding the Third Proportional to 11,829 and 24,195

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Solution

The third proportional to 11,829 and 24,195 is: 49,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829 : 24,195 = 24,195 : x
  2. Step 2: Convert to fraction form
    11,829/24,195 = 24,195/x
  3. Step 3: Cross multiply
    11,829x = 24,195 × 24,195
  4. Step 4: Simplify right side
    11,829x = 585,398,025
  5. Step 5: Solve for x
    x = 585,398,025/11,829
  6. Step 6: Final answer
    x = 49,488.38

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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.