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Finding the Third Proportional to 32,067 and 70,035

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Solution

The third proportional to 32,067 and 70,035 is: 152,957.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067 : 70,035 = 70,035 : x
  2. Step 2: Convert to fraction form
    32,067/70,035 = 70,035/x
  3. Step 3: Cross multiply
    32,067x = 70,035 × 70,035
  4. Step 4: Simplify right side
    32,067x = 4,904,901,225
  5. Step 5: Solve for x
    x = 4,904,901,225/32,067
  6. Step 6: Final answer
    x = 152,957.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.