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Finding the Third Proportional to 35,974 and 79,036

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Solution

The third proportional to 35,974 and 79,036 is: 173,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,974 : 79,036 = 79,036 : x
  2. Step 2: Convert to fraction form
    35,974/79,036 = 79,036/x
  3. Step 3: Cross multiply
    35,974x = 79,036 × 79,036
  4. Step 4: Simplify right side
    35,974x = 6,246,689,296
  5. Step 5: Solve for x
    x = 6,246,689,296/35,974
  6. Step 6: Final answer
    x = 173,644.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.