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Finding the Third Proportional to 8,514 and 13,041

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Solution

The third proportional to 8,514 and 13,041 is: 19,975.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514 : 13,041 = 13,041 : x
  2. Step 2: Convert to fraction form
    8,514/13,041 = 13,041/x
  3. Step 3: Cross multiply
    8,514x = 13,041 × 13,041
  4. Step 4: Simplify right side
    8,514x = 170,067,681
  5. Step 5: Solve for x
    x = 170,067,681/8,514
  6. Step 6: Final answer
    x = 19,975.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.