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Finding the Third Proportional to 32,880 and 67,377

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Solution

The third proportional to 32,880 and 67,377 is: 138,067.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,880 : 67,377 = 67,377 : x
  2. Step 2: Convert to fraction form
    32,880/67,377 = 67,377/x
  3. Step 3: Cross multiply
    32,880x = 67,377 × 67,377
  4. Step 4: Simplify right side
    32,880x = 4,539,660,129
  5. Step 5: Solve for x
    x = 4,539,660,129/32,880
  6. Step 6: Final answer
    x = 138,067.52

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.