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Finding the Third Proportional to 11,806.31 and 18,427.22

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Solution

The third proportional to 11,806.31 and 18,427.22 is: 28,761.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.31 : 18,427.22 = 18,427.22 : x
  2. Step 2: Convert to fraction form
    11,806.31/18,427.22 = 18,427.22/x
  3. Step 3: Cross multiply
    11,806.31x = 18,427.22 × 18,427.22
  4. Step 4: Simplify right side
    11,806.31x = 339,562,390.86
  5. Step 5: Solve for x
    x = 339,562,390.86/11,806.31
  6. Step 6: Final answer
    x = 28,761.09

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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.