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Finding the Third Proportional to 11,512 and 23,672

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Solution

The third proportional to 11,512 and 23,672 is: 48,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512 : 23,672 = 23,672 : x
  2. Step 2: Convert to fraction form
    11,512/23,672 = 23,672/x
  3. Step 3: Cross multiply
    11,512x = 23,672 × 23,672
  4. Step 4: Simplify right side
    11,512x = 560,363,584
  5. Step 5: Solve for x
    x = 560,363,584/11,512
  6. Step 6: Final answer
    x = 48,676.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.