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Finding the Third Proportional to 8,514 and 18,324

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Solution

The third proportional to 8,514 and 18,324 is: 39,437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,514 : 18,324 = 18,324 : x
  2. Step 2: Convert to fraction form
    8,514/18,324 = 18,324/x
  3. Step 3: Cross multiply
    8,514x = 18,324 × 18,324
  4. Step 4: Simplify right side
    8,514x = 335,768,976
  5. Step 5: Solve for x
    x = 335,768,976/8,514
  6. Step 6: Final answer
    x = 39,437.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.