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Finding the Third Proportional to 13,324.13 and 19,249.13

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Solution

The third proportional to 13,324.13 and 19,249.13 is: 27,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,324.13 : 19,249.13 = 19,249.13 : x
  2. Step 2: Convert to fraction form
    13,324.13/19,249.13 = 19,249.13/x
  3. Step 3: Cross multiply
    13,324.13x = 19,249.13 × 19,249.13
  4. Step 4: Simplify right side
    13,324.13x = 370,528,813.27
  5. Step 5: Solve for x
    x = 370,528,813.27/13,324.13
  6. Step 6: Final answer
    x = 27,808.87

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.