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Finding the Third Proportional to 27,824 and 43,089

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Solution

The third proportional to 27,824 and 43,089 is: 66,728.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824 : 43,089 = 43,089 : x
  2. Step 2: Convert to fraction form
    27,824/43,089 = 43,089/x
  3. Step 3: Cross multiply
    27,824x = 43,089 × 43,089
  4. Step 4: Simplify right side
    27,824x = 1,856,661,921
  5. Step 5: Solve for x
    x = 1,856,661,921/27,824
  6. Step 6: Final answer
    x = 66,728.79

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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.