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Finding the Third Proportional to 12,019 and 17,928.50

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Solution

The third proportional to 12,019 and 17,928.50 is: 26,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019 : 17,928.50 = 17,928.50 : x
  2. Step 2: Convert to fraction form
    12,019/17,928.50 = 17,928.50/x
  3. Step 3: Cross multiply
    12,019x = 17,928.50 × 17,928.50
  4. Step 4: Simplify right side
    12,019x = 321,431,112.25
  5. Step 5: Solve for x
    x = 321,431,112.25/12,019
  6. Step 6: Final answer
    x = 26,743.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.