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Finding the Third Proportional to 13,816 and 19,738

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Solution

The third proportional to 13,816 and 19,738 is: 28,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816 : 19,738 = 19,738 : x
  2. Step 2: Convert to fraction form
    13,816/19,738 = 19,738/x
  3. Step 3: Cross multiply
    13,816x = 19,738 × 19,738
  4. Step 4: Simplify right side
    13,816x = 389,588,644
  5. Step 5: Solve for x
    x = 389,588,644/13,816
  6. Step 6: Final answer
    x = 28,198.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.