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Finding the Third Proportional to 11,790.56 and 18,403.31

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Solution

The third proportional to 11,790.56 and 18,403.31 is: 28,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,790.56 : 18,403.31 = 18,403.31 : x
  2. Step 2: Convert to fraction form
    11,790.56/18,403.31 = 18,403.31/x
  3. Step 3: Cross multiply
    11,790.56x = 18,403.31 × 18,403.31
  4. Step 4: Simplify right side
    11,790.56x = 338,681,910.97
  5. Step 5: Solve for x
    x = 338,681,910.97/11,790.56
  6. Step 6: Final answer
    x = 28,724.83

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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.