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Finding the Third Proportional to 21,924 and 32,067

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Solution

The third proportional to 21,924 and 32,067 is: 46,902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,924 : 32,067 = 32,067 : x
  2. Step 2: Convert to fraction form
    21,924/32,067 = 32,067/x
  3. Step 3: Cross multiply
    21,924x = 32,067 × 32,067
  4. Step 4: Simplify right side
    21,924x = 1,028,292,489
  5. Step 5: Solve for x
    x = 1,028,292,489/21,924
  6. Step 6: Final answer
    x = 46,902.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.