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Finding the Third Proportional to 8,344 and 17,904

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Solution

The third proportional to 8,344 and 17,904 is: 38,417.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344 : 17,904 = 17,904 : x
  2. Step 2: Convert to fraction form
    8,344/17,904 = 17,904/x
  3. Step 3: Cross multiply
    8,344x = 17,904 × 17,904
  4. Step 4: Simplify right side
    8,344x = 320,553,216
  5. Step 5: Solve for x
    x = 320,553,216/8,344
  6. Step 6: Final answer
    x = 38,417.21

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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.