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Finding the Third Proportional to 32,907 and 71,067.75

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Solution

The third proportional to 32,907 and 71,067.75 is: 153,481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,907 : 71,067.75 = 71,067.75 : x
  2. Step 2: Convert to fraction form
    32,907/71,067.75 = 71,067.75/x
  3. Step 3: Cross multiply
    32,907x = 71,067.75 × 71,067.75
  4. Step 4: Simplify right side
    32,907x = 5,050,625,090.06
  5. Step 5: Solve for x
    x = 5,050,625,090.06/32,907
  6. Step 6: Final answer
    x = 153,481.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.