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Finding the Third Proportional to 18,824 and 23,976

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Solution

The third proportional to 18,824 and 23,976 is: 30,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,824 : 23,976 = 23,976 : x
  2. Step 2: Convert to fraction form
    18,824/23,976 = 23,976/x
  3. Step 3: Cross multiply
    18,824x = 23,976 × 23,976
  4. Step 4: Simplify right side
    18,824x = 574,848,576
  5. Step 5: Solve for x
    x = 574,848,576/18,824
  6. Step 6: Final answer
    x = 30,538.07

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.