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Finding the Third Proportional to 23,906 and 52,324

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Solution

The third proportional to 23,906 and 52,324 is: 114,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,906 : 52,324 = 52,324 : x
  2. Step 2: Convert to fraction form
    23,906/52,324 = 52,324/x
  3. Step 3: Cross multiply
    23,906x = 52,324 × 52,324
  4. Step 4: Simplify right side
    23,906x = 2,737,800,976
  5. Step 5: Solve for x
    x = 2,737,800,976/23,906
  6. Step 6: Final answer
    x = 114,523.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.