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Finding the Third Proportional to 21,794 and 34,529

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Solution

The third proportional to 21,794 and 34,529 is: 54,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,794 : 34,529 = 34,529 : x
  2. Step 2: Convert to fraction form
    21,794/34,529 = 34,529/x
  3. Step 3: Cross multiply
    21,794x = 34,529 × 34,529
  4. Step 4: Simplify right side
    21,794x = 1,192,251,841
  5. Step 5: Solve for x
    x = 1,192,251,841/21,794
  6. Step 6: Final answer
    x = 54,705.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.