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Finding the Third Proportional to 11,645.44 and 16,462.41

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Solution

The third proportional to 11,645.44 and 16,462.41 is: 23,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.44 : 16,462.41 = 16,462.41 : x
  2. Step 2: Convert to fraction form
    11,645.44/16,462.41 = 16,462.41/x
  3. Step 3: Cross multiply
    11,645.44x = 16,462.41 × 16,462.41
  4. Step 4: Simplify right side
    11,645.44x = 271,010,819.54
  5. Step 5: Solve for x
    x = 271,010,819.54/11,645.44
  6. Step 6: Final answer
    x = 23,271.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.