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Finding the Third Proportional to 23,962 and 52,108

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Solution

The third proportional to 23,962 and 52,108 is: 113,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,962 : 52,108 = 52,108 : x
  2. Step 2: Convert to fraction form
    23,962/52,108 = 52,108/x
  3. Step 3: Cross multiply
    23,962x = 52,108 × 52,108
  4. Step 4: Simplify right side
    23,962x = 2,715,243,664
  5. Step 5: Solve for x
    x = 2,715,243,664/23,962
  6. Step 6: Final answer
    x = 113,314.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.