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Finding the Third Proportional to 11,893.71 and 18,441.42

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Solution

The third proportional to 11,893.71 and 18,441.42 is: 28,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.71 : 18,441.42 = 18,441.42 : x
  2. Step 2: Convert to fraction form
    11,893.71/18,441.42 = 18,441.42/x
  3. Step 3: Cross multiply
    11,893.71x = 18,441.42 × 18,441.42
  4. Step 4: Simplify right side
    11,893.71x = 340,086,040.77
  5. Step 5: Solve for x
    x = 340,086,040.77/11,893.71
  6. Step 6: Final answer
    x = 28,593.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.