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Finding the Third Proportional to 32,067 and 57,087

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Solution

The third proportional to 32,067 and 57,087 is: 101,628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067 : 57,087 = 57,087 : x
  2. Step 2: Convert to fraction form
    32,067/57,087 = 57,087/x
  3. Step 3: Cross multiply
    32,067x = 57,087 × 57,087
  4. Step 4: Simplify right side
    32,067x = 3,258,925,569
  5. Step 5: Solve for x
    x = 3,258,925,569/32,067
  6. Step 6: Final answer
    x = 101,628.64

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.