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Finding the Third Proportional to 35,016 and 80,979

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Solution

The third proportional to 35,016 and 80,979 is: 187,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,016 : 80,979 = 80,979 : x
  2. Step 2: Convert to fraction form
    35,016/80,979 = 80,979/x
  3. Step 3: Cross multiply
    35,016x = 80,979 × 80,979
  4. Step 4: Simplify right side
    35,016x = 6,557,598,441
  5. Step 5: Solve for x
    x = 6,557,598,441/35,016
  6. Step 6: Final answer
    x = 187,274.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.