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Finding the Third Proportional to 27,614 and 43,923

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Solution

The third proportional to 27,614 and 43,923 is: 69,864.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614 : 43,923 = 43,923 : x
  2. Step 2: Convert to fraction form
    27,614/43,923 = 43,923/x
  3. Step 3: Cross multiply
    27,614x = 43,923 × 43,923
  4. Step 4: Simplify right side
    27,614x = 1,929,229,929
  5. Step 5: Solve for x
    x = 1,929,229,929/27,614
  6. Step 6: Final answer
    x = 69,864.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.