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Finding the Third Proportional to 12,205.69 and 18,412.31

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Solution

The third proportional to 12,205.69 and 18,412.31 is: 27,775.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.69 : 18,412.31 = 18,412.31 : x
  2. Step 2: Convert to fraction form
    12,205.69/18,412.31 = 18,412.31/x
  3. Step 3: Cross multiply
    12,205.69x = 18,412.31 × 18,412.31
  4. Step 4: Simplify right side
    12,205.69x = 339,013,251.60
  5. Step 5: Solve for x
    x = 339,013,251.60/12,205.69
  6. Step 6: Final answer
    x = 27,775.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.