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Finding the Third Proportional to 20,163 and 46,635

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Solution

The third proportional to 20,163 and 46,635 is: 107,862.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,163 : 46,635 = 46,635 : x
  2. Step 2: Convert to fraction form
    20,163/46,635 = 46,635/x
  3. Step 3: Cross multiply
    20,163x = 46,635 × 46,635
  4. Step 4: Simplify right side
    20,163x = 2,174,823,225
  5. Step 5: Solve for x
    x = 2,174,823,225/20,163
  6. Step 6: Final answer
    x = 107,862.09

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.