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Finding the Third Proportional to 11,976 and 16,011

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Solution

The third proportional to 11,976 and 16,011 is: 21,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976 : 16,011 = 16,011 : x
  2. Step 2: Convert to fraction form
    11,976/16,011 = 16,011/x
  3. Step 3: Cross multiply
    11,976x = 16,011 × 16,011
  4. Step 4: Simplify right side
    11,976x = 256,352,121
  5. Step 5: Solve for x
    x = 256,352,121/11,976
  6. Step 6: Final answer
    x = 21,405.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.