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Finding the Third Proportional to 13,699.13 and 27,424.83

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Solution

The third proportional to 13,699.13 and 27,424.83 is: 54,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.13 : 27,424.83 = 27,424.83 : x
  2. Step 2: Convert to fraction form
    13,699.13/27,424.83 = 27,424.83/x
  3. Step 3: Cross multiply
    13,699.13x = 27,424.83 × 27,424.83
  4. Step 4: Simplify right side
    13,699.13x = 752,121,197.69
  5. Step 5: Solve for x
    x = 752,121,197.69/13,699.13
  6. Step 6: Final answer
    x = 54,902.86

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.