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Finding the Third Proportional to 11,664 and 13,328

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Solution

The third proportional to 11,664 and 13,328 is: 15,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664 : 13,328 = 13,328 : x
  2. Step 2: Convert to fraction form
    11,664/13,328 = 13,328/x
  3. Step 3: Cross multiply
    11,664x = 13,328 × 13,328
  4. Step 4: Simplify right side
    11,664x = 177,635,584
  5. Step 5: Solve for x
    x = 177,635,584/11,664
  6. Step 6: Final answer
    x = 15,229.39

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.