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Finding the Third Proportional to 17,926 and 27,825

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Solution

The third proportional to 17,926 and 27,825 is: 43,190.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,926 : 27,825 = 27,825 : x
  2. Step 2: Convert to fraction form
    17,926/27,825 = 27,825/x
  3. Step 3: Cross multiply
    17,926x = 27,825 × 27,825
  4. Step 4: Simplify right side
    17,926x = 774,230,625
  5. Step 5: Solve for x
    x = 774,230,625/17,926
  6. Step 6: Final answer
    x = 43,190.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.