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Finding the Third Proportional to 33,553 and 70,994

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Solution

The third proportional to 33,553 and 70,994 is: 150,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,553 : 70,994 = 70,994 : x
  2. Step 2: Convert to fraction form
    33,553/70,994 = 70,994/x
  3. Step 3: Cross multiply
    33,553x = 70,994 × 70,994
  4. Step 4: Simplify right side
    33,553x = 5,040,148,036
  5. Step 5: Solve for x
    x = 5,040,148,036/33,553
  6. Step 6: Final answer
    x = 150,214.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.