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Finding the Third Proportional to 8,024 and 17,344

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Solution

The third proportional to 8,024 and 17,344 is: 37,489.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024 : 17,344 = 17,344 : x
  2. Step 2: Convert to fraction form
    8,024/17,344 = 17,344/x
  3. Step 3: Cross multiply
    8,024x = 17,344 × 17,344
  4. Step 4: Simplify right side
    8,024x = 300,814,336
  5. Step 5: Solve for x
    x = 300,814,336/8,024
  6. Step 6: Final answer
    x = 37,489.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.