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Finding the Third Proportional to 32,346 and 49,067

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Solution

The third proportional to 32,346 and 49,067 is: 74,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,346 : 49,067 = 49,067 : x
  2. Step 2: Convert to fraction form
    32,346/49,067 = 49,067/x
  3. Step 3: Cross multiply
    32,346x = 49,067 × 49,067
  4. Step 4: Simplify right side
    32,346x = 2,407,570,489
  5. Step 5: Solve for x
    x = 2,407,570,489/32,346
  6. Step 6: Final answer
    x = 74,431.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.