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Finding the Third Proportional to 17,884 and 27,850

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Solution

The third proportional to 17,884 and 27,850 is: 43,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884 : 27,850 = 27,850 : x
  2. Step 2: Convert to fraction form
    17,884/27,850 = 27,850/x
  3. Step 3: Cross multiply
    17,884x = 27,850 × 27,850
  4. Step 4: Simplify right side
    17,884x = 775,622,500
  5. Step 5: Solve for x
    x = 775,622,500/17,884
  6. Step 6: Final answer
    x = 43,369.63

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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.