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Finding the Third Proportional to 10,512 and 13,384

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Solution

The third proportional to 10,512 and 13,384 is: 17,040.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512 : 13,384 = 13,384 : x
  2. Step 2: Convert to fraction form
    10,512/13,384 = 13,384/x
  3. Step 3: Cross multiply
    10,512x = 13,384 × 13,384
  4. Step 4: Simplify right side
    10,512x = 179,131,456
  5. Step 5: Solve for x
    x = 179,131,456/10,512
  6. Step 6: Final answer
    x = 17,040.66

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.