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Finding the Third Proportional to 11,664 and 13,356

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Solution

The third proportional to 11,664 and 13,356 is: 15,293.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664 : 13,356 = 13,356 : x
  2. Step 2: Convert to fraction form
    11,664/13,356 = 13,356/x
  3. Step 3: Cross multiply
    11,664x = 13,356 × 13,356
  4. Step 4: Simplify right side
    11,664x = 178,382,736
  5. Step 5: Solve for x
    x = 178,382,736/11,664
  6. Step 6: Final answer
    x = 15,293.44

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.