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Finding the Third Proportional to 13,514 and 18,563

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Solution

The third proportional to 13,514 and 18,563 is: 25,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514 : 18,563 = 18,563 : x
  2. Step 2: Convert to fraction form
    13,514/18,563 = 18,563/x
  3. Step 3: Cross multiply
    13,514x = 18,563 × 18,563
  4. Step 4: Simplify right side
    13,514x = 344,584,969
  5. Step 5: Solve for x
    x = 344,584,969/13,514
  6. Step 6: Final answer
    x = 25,498.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.