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Finding the Third Proportional to 35,611 and 76,933

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Solution

The third proportional to 35,611 and 76,933 is: 166,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,611 : 76,933 = 76,933 : x
  2. Step 2: Convert to fraction form
    35,611/76,933 = 76,933/x
  3. Step 3: Cross multiply
    35,611x = 76,933 × 76,933
  4. Step 4: Simplify right side
    35,611x = 5,918,686,489
  5. Step 5: Solve for x
    x = 5,918,686,489/35,611
  6. Step 6: Final answer
    x = 166,203.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.