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Finding the Third Proportional to 22,824 and 35,067

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Solution

The third proportional to 22,824 and 35,067 is: 53,877.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,824 : 35,067 = 35,067 : x
  2. Step 2: Convert to fraction form
    22,824/35,067 = 35,067/x
  3. Step 3: Cross multiply
    22,824x = 35,067 × 35,067
  4. Step 4: Simplify right side
    22,824x = 1,229,694,489
  5. Step 5: Solve for x
    x = 1,229,694,489/22,824
  6. Step 6: Final answer
    x = 53,877.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.