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Finding the Third Proportional to 11,993 and 28,011

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Solution

The third proportional to 11,993 and 28,011 is: 65,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993 : 28,011 = 28,011 : x
  2. Step 2: Convert to fraction form
    11,993/28,011 = 28,011/x
  3. Step 3: Cross multiply
    11,993x = 28,011 × 28,011
  4. Step 4: Simplify right side
    11,993x = 784,616,121
  5. Step 5: Solve for x
    x = 784,616,121/11,993
  6. Step 6: Final answer
    x = 65,422.84

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.