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Finding the Third Proportional to 12,084.75 and 18,201.38

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Solution

The third proportional to 12,084.75 and 18,201.38 is: 27,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.75 : 18,201.38 = 18,201.38 : x
  2. Step 2: Convert to fraction form
    12,084.75/18,201.38 = 18,201.38/x
  3. Step 3: Cross multiply
    12,084.75x = 18,201.38 × 18,201.38
  4. Step 4: Simplify right side
    12,084.75x = 331,290,051.89
  5. Step 5: Solve for x
    x = 331,290,051.89/12,084.75
  6. Step 6: Final answer
    x = 27,413.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.