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Finding the Third Proportional to 27,864 and 43,704

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Solution

The third proportional to 27,864 and 43,704 is: 68,548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,864 : 43,704 = 43,704 : x
  2. Step 2: Convert to fraction form
    27,864/43,704 = 43,704/x
  3. Step 3: Cross multiply
    27,864x = 43,704 × 43,704
  4. Step 4: Simplify right side
    27,864x = 1,910,039,616
  5. Step 5: Solve for x
    x = 1,910,039,616/27,864
  6. Step 6: Final answer
    x = 68,548.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.