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Finding the Third Proportional to 11,990 and 28,006

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Solution

The third proportional to 11,990 and 28,006 is: 65,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,990 : 28,006 = 28,006 : x
  2. Step 2: Convert to fraction form
    11,990/28,006 = 28,006/x
  3. Step 3: Cross multiply
    11,990x = 28,006 × 28,006
  4. Step 4: Simplify right side
    11,990x = 784,336,036
  5. Step 5: Solve for x
    x = 784,336,036/11,990
  6. Step 6: Final answer
    x = 65,415.85

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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.