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Finding the Third Proportional to 8,338 and 19,738

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Solution

The third proportional to 8,338 and 19,738 is: 46,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338 : 19,738 = 19,738 : x
  2. Step 2: Convert to fraction form
    8,338/19,738 = 19,738/x
  3. Step 3: Cross multiply
    8,338x = 19,738 × 19,738
  4. Step 4: Simplify right side
    8,338x = 389,588,644
  5. Step 5: Solve for x
    x = 389,588,644/8,338
  6. Step 6: Final answer
    x = 46,724.47

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.