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Finding the Third Proportional to 27,962 and 43,635

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Solution

The third proportional to 27,962 and 43,635 is: 68,092.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,962 : 43,635 = 43,635 : x
  2. Step 2: Convert to fraction form
    27,962/43,635 = 43,635/x
  3. Step 3: Cross multiply
    27,962x = 43,635 × 43,635
  4. Step 4: Simplify right side
    27,962x = 1,904,013,225
  5. Step 5: Solve for x
    x = 1,904,013,225/27,962
  6. Step 6: Final answer
    x = 68,092.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.