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Finding the Third Proportional to 12,205.38 and 18,308.13

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Solution

The third proportional to 12,205.38 and 18,308.13 is: 27,462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.38 : 18,308.13 = 18,308.13 : x
  2. Step 2: Convert to fraction form
    12,205.38/18,308.13 = 18,308.13/x
  3. Step 3: Cross multiply
    12,205.38x = 18,308.13 × 18,308.13
  4. Step 4: Simplify right side
    12,205.38x = 335,187,441.02
  5. Step 5: Solve for x
    x = 335,187,441.02/12,205.38
  6. Step 6: Final answer
    x = 27,462.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.