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Finding the Third Proportional to 11,836.13 and 17,806.08

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Solution

The third proportional to 11,836.13 and 17,806.08 is: 26,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.13 : 17,806.08 = 17,806.08 : x
  2. Step 2: Convert to fraction form
    11,836.13/17,806.08 = 17,806.08/x
  3. Step 3: Cross multiply
    11,836.13x = 17,806.08 × 17,806.08
  4. Step 4: Simplify right side
    11,836.13x = 317,056,418.19
  5. Step 5: Solve for x
    x = 317,056,418.19/11,836.13
  6. Step 6: Final answer
    x = 26,787.18

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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.