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Finding the Third Proportional to 8,744 and 18,889

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Solution

The third proportional to 8,744 and 18,889 is: 40,804.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,744 : 18,889 = 18,889 : x
  2. Step 2: Convert to fraction form
    8,744/18,889 = 18,889/x
  3. Step 3: Cross multiply
    8,744x = 18,889 × 18,889
  4. Step 4: Simplify right side
    8,744x = 356,794,321
  5. Step 5: Solve for x
    x = 356,794,321/8,744
  6. Step 6: Final answer
    x = 40,804.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.