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Finding the Third Proportional to 8,344 and 19,695

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Solution

The third proportional to 8,344 and 19,695 is: 46,487.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344 : 19,695 = 19,695 : x
  2. Step 2: Convert to fraction form
    8,344/19,695 = 19,695/x
  3. Step 3: Cross multiply
    8,344x = 19,695 × 19,695
  4. Step 4: Simplify right side
    8,344x = 387,893,025
  5. Step 5: Solve for x
    x = 387,893,025/8,344
  6. Step 6: Final answer
    x = 46,487.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.