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Finding the Third Proportional to 11,389.36 and 17,826.33

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Solution

The third proportional to 11,389.36 and 17,826.33 is: 27,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.36 : 17,826.33 = 17,826.33 : x
  2. Step 2: Convert to fraction form
    11,389.36/17,826.33 = 17,826.33/x
  3. Step 3: Cross multiply
    11,389.36x = 17,826.33 × 17,826.33
  4. Step 4: Simplify right side
    11,389.36x = 317,777,974.42
  5. Step 5: Solve for x
    x = 317,777,974.42/11,389.36
  6. Step 6: Final answer
    x = 27,901.30

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.