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Finding the Third Proportional to 14,645.25 and 32,067

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Solution

The third proportional to 14,645.25 and 32,067 is: 70,213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.25 : 32,067 = 32,067 : x
  2. Step 2: Convert to fraction form
    14,645.25/32,067 = 32,067/x
  3. Step 3: Cross multiply
    14,645.25x = 32,067 × 32,067
  4. Step 4: Simplify right side
    14,645.25x = 1,028,292,489
  5. Step 5: Solve for x
    x = 1,028,292,489/14,645.25
  6. Step 6: Final answer
    x = 70,213.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.