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Finding the Third Proportional to 23,936 and 52,696

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Solution

The third proportional to 23,936 and 52,696 is: 116,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,936 : 52,696 = 52,696 : x
  2. Step 2: Convert to fraction form
    23,936/52,696 = 52,696/x
  3. Step 3: Cross multiply
    23,936x = 52,696 × 52,696
  4. Step 4: Simplify right side
    23,936x = 2,776,868,416
  5. Step 5: Solve for x
    x = 2,776,868,416/23,936
  6. Step 6: Final answer
    x = 116,012.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.