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Finding the Third Proportional to 17,934 and 27,657

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Solution

The third proportional to 17,934 and 27,657 is: 42,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,934 : 27,657 = 27,657 : x
  2. Step 2: Convert to fraction form
    17,934/27,657 = 27,657/x
  3. Step 3: Cross multiply
    17,934x = 27,657 × 27,657
  4. Step 4: Simplify right side
    17,934x = 764,909,649
  5. Step 5: Solve for x
    x = 764,909,649/17,934
  6. Step 6: Final answer
    x = 42,651.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.