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Finding the Third Proportional to 13,015.69 and 18,187.03

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Solution

The third proportional to 13,015.69 and 18,187.03 is: 25,413.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.69 : 18,187.03 = 18,187.03 : x
  2. Step 2: Convert to fraction form
    13,015.69/18,187.03 = 18,187.03/x
  3. Step 3: Cross multiply
    13,015.69x = 18,187.03 × 18,187.03
  4. Step 4: Simplify right side
    13,015.69x = 330,768,105.69
  5. Step 5: Solve for x
    x = 330,768,105.69/13,015.69
  6. Step 6: Final answer
    x = 25,413.03

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.