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Finding the Third Proportional to 23,328 and 33,696

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Solution

The third proportional to 23,328 and 33,696 is: 48,672

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,328 : 33,696 = 33,696 : x
  2. Step 2: Convert to fraction form
    23,328/33,696 = 33,696/x
  3. Step 3: Cross multiply
    23,328x = 33,696 × 33,696
  4. Step 4: Simplify right side
    23,328x = 1,135,420,416
  5. Step 5: Solve for x
    x = 1,135,420,416/23,328
  6. Step 6: Final answer
    x = 48,672

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.