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Finding the Third Proportional to 8,015 and 18,723

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Solution

The third proportional to 8,015 and 18,723 is: 43,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015 : 18,723 = 18,723 : x
  2. Step 2: Convert to fraction form
    8,015/18,723 = 18,723/x
  3. Step 3: Cross multiply
    8,015x = 18,723 × 18,723
  4. Step 4: Simplify right side
    8,015x = 350,550,729
  5. Step 5: Solve for x
    x = 350,550,729/8,015
  6. Step 6: Final answer
    x = 43,736.83

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.