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Finding the Third Proportional to 27,824 and 57,494

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Solution

The third proportional to 27,824 and 57,494 is: 118,802.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,824 : 57,494 = 57,494 : x
  2. Step 2: Convert to fraction form
    27,824/57,494 = 57,494/x
  3. Step 3: Cross multiply
    27,824x = 57,494 × 57,494
  4. Step 4: Simplify right side
    27,824x = 3,305,560,036
  5. Step 5: Solve for x
    x = 3,305,560,036/27,824
  6. Step 6: Final answer
    x = 118,802.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.