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Finding the Third Proportional to 12,105.38 and 18,165.38

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Solution

The third proportional to 12,105.38 and 18,165.38 is: 27,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.38 : 18,165.38 = 18,165.38 : x
  2. Step 2: Convert to fraction form
    12,105.38/18,165.38 = 18,165.38/x
  3. Step 3: Cross multiply
    12,105.38x = 18,165.38 × 18,165.38
  4. Step 4: Simplify right side
    12,105.38x = 329,980,848.89
  5. Step 5: Solve for x
    x = 329,980,848.89/12,105.38
  6. Step 6: Final answer
    x = 27,259.04

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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.