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Finding the Third Proportional to 33,974 and 74,671

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Solution

The third proportional to 33,974 and 74,671 is: 164,118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,974 : 74,671 = 74,671 : x
  2. Step 2: Convert to fraction form
    33,974/74,671 = 74,671/x
  3. Step 3: Cross multiply
    33,974x = 74,671 × 74,671
  4. Step 4: Simplify right side
    33,974x = 5,575,758,241
  5. Step 5: Solve for x
    x = 5,575,758,241/33,974
  6. Step 6: Final answer
    x = 164,118.39

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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.