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Finding the Third Proportional to 17,163 and 31,477

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Solution

The third proportional to 17,163 and 31,477 is: 57,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,163 : 31,477 = 31,477 : x
  2. Step 2: Convert to fraction form
    17,163/31,477 = 31,477/x
  3. Step 3: Cross multiply
    17,163x = 31,477 × 31,477
  4. Step 4: Simplify right side
    17,163x = 990,801,529
  5. Step 5: Solve for x
    x = 990,801,529/17,163
  6. Step 6: Final answer
    x = 57,728.92

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.