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Finding the Third Proportional to 12,165.19 and 18,246.94

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Solution

The third proportional to 12,165.19 and 18,246.94 is: 27,369.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 18,246.94 = 18,246.94 : x
  2. Step 2: Convert to fraction form
    12,165.19/18,246.94 = 18,246.94/x
  3. Step 3: Cross multiply
    12,165.19x = 18,246.94 × 18,246.94
  4. Step 4: Simplify right side
    12,165.19x = 332,950,728.13
  5. Step 5: Solve for x
    x = 332,950,728.13/12,165.19
  6. Step 6: Final answer
    x = 27,369.14

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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.