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Finding the Third Proportional to 23,951 and 52,195

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Solution

The third proportional to 23,951 and 52,195 is: 113,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,951 : 52,195 = 52,195 : x
  2. Step 2: Convert to fraction form
    23,951/52,195 = 52,195/x
  3. Step 3: Cross multiply
    23,951x = 52,195 × 52,195
  4. Step 4: Simplify right side
    23,951x = 2,724,318,025
  5. Step 5: Solve for x
    x = 2,724,318,025/23,951
  6. Step 6: Final answer
    x = 113,745.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.