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Finding the Third Proportional to 23,512 and 50,732

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Solution

The third proportional to 23,512 and 50,732 is: 109,464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512 : 50,732 = 50,732 : x
  2. Step 2: Convert to fraction form
    23,512/50,732 = 50,732/x
  3. Step 3: Cross multiply
    23,512x = 50,732 × 50,732
  4. Step 4: Simplify right side
    23,512x = 2,573,735,824
  5. Step 5: Solve for x
    x = 2,573,735,824/23,512
  6. Step 6: Final answer
    x = 109,464.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.