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Finding the Third Proportional to 35,015 and 80,976

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Solution

The third proportional to 35,015 and 80,976 is: 187,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,015 : 80,976 = 80,976 : x
  2. Step 2: Convert to fraction form
    35,015/80,976 = 80,976/x
  3. Step 3: Cross multiply
    35,015x = 80,976 × 80,976
  4. Step 4: Simplify right side
    35,015x = 6,557,112,576
  5. Step 5: Solve for x
    x = 6,557,112,576/35,015
  6. Step 6: Final answer
    x = 187,265.82

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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.