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Finding the Third Proportional to 17,783 and 29,634

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Solution

The third proportional to 17,783 and 29,634 is: 49,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783 : 29,634 = 29,634 : x
  2. Step 2: Convert to fraction form
    17,783/29,634 = 29,634/x
  3. Step 3: Cross multiply
    17,783x = 29,634 × 29,634
  4. Step 4: Simplify right side
    17,783x = 878,173,956
  5. Step 5: Solve for x
    x = 878,173,956/17,783
  6. Step 6: Final answer
    x = 49,382.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.