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Finding the Third Proportional to 11,860 and 15,827

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Solution

The third proportional to 11,860 and 15,827 is: 21,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860 : 15,827 = 15,827 : x
  2. Step 2: Convert to fraction form
    11,860/15,827 = 15,827/x
  3. Step 3: Cross multiply
    11,860x = 15,827 × 15,827
  4. Step 4: Simplify right side
    11,860x = 250,493,929
  5. Step 5: Solve for x
    x = 250,493,929/11,860
  6. Step 6: Final answer
    x = 21,120.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.