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Finding the Third Proportional to 12,187.97 and 18,168.05

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Solution

The third proportional to 12,187.97 and 18,168.05 is: 27,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.97 : 18,168.05 = 18,168.05 : x
  2. Step 2: Convert to fraction form
    12,187.97/18,168.05 = 18,168.05/x
  3. Step 3: Cross multiply
    12,187.97x = 18,168.05 × 18,168.05
  4. Step 4: Simplify right side
    12,187.97x = 330,077,927.25
  5. Step 5: Solve for x
    x = 330,077,927.25/12,187.97
  6. Step 6: Final answer
    x = 27,082.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.