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Finding the Third Proportional to 23,813 and 52,325

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Solution

The third proportional to 23,813 and 52,325 is: 114,975.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813 : 52,325 = 52,325 : x
  2. Step 2: Convert to fraction form
    23,813/52,325 = 52,325/x
  3. Step 3: Cross multiply
    23,813x = 52,325 × 52,325
  4. Step 4: Simplify right side
    23,813x = 2,737,905,625
  5. Step 5: Solve for x
    x = 2,737,905,625/23,813
  6. Step 6: Final answer
    x = 114,975.25

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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.