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Finding the Third Proportional to 11,874.09 and 18,541.41

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Solution

The third proportional to 11,874.09 and 18,541.41 is: 28,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.09 : 18,541.41 = 18,541.41 : x
  2. Step 2: Convert to fraction form
    11,874.09/18,541.41 = 18,541.41/x
  3. Step 3: Cross multiply
    11,874.09x = 18,541.41 × 18,541.41
  4. Step 4: Simplify right side
    11,874.09x = 343,783,745.73
  5. Step 5: Solve for x
    x = 343,783,745.73/11,874.09
  6. Step 6: Final answer
    x = 28,952.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.