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Finding the Third Proportional to 17,738 and 27,579

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Solution

The third proportional to 17,738 and 27,579 is: 42,879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738 : 27,579 = 27,579 : x
  2. Step 2: Convert to fraction form
    17,738/27,579 = 27,579/x
  3. Step 3: Cross multiply
    17,738x = 27,579 × 27,579
  4. Step 4: Simplify right side
    17,738x = 760,601,241
  5. Step 5: Solve for x
    x = 760,601,241/17,738
  6. Step 6: Final answer
    x = 42,879.76

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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.