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Finding the Third Proportional to 12,106.13 and 18,169.31

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Solution

The third proportional to 12,106.13 and 18,169.31 is: 27,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.13 : 18,169.31 = 18,169.31 : x
  2. Step 2: Convert to fraction form
    12,106.13/18,169.31 = 18,169.31/x
  3. Step 3: Cross multiply
    12,106.13x = 18,169.31 × 18,169.31
  4. Step 4: Simplify right side
    12,106.13x = 330,123,916.72
  5. Step 5: Solve for x
    x = 330,123,916.72/12,106.13
  6. Step 6: Final answer
    x = 27,269.16

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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.