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Finding the Third Proportional to 11,696 and 24,833

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Solution

The third proportional to 11,696 and 24,833 is: 52,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696 : 24,833 = 24,833 : x
  2. Step 2: Convert to fraction form
    11,696/24,833 = 24,833/x
  3. Step 3: Cross multiply
    11,696x = 24,833 × 24,833
  4. Step 4: Simplify right side
    11,696x = 616,677,889
  5. Step 5: Solve for x
    x = 616,677,889/11,696
  6. Step 6: Final answer
    x = 52,725.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.