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Finding the Third Proportional to 33,088 and 49,933

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Solution

The third proportional to 33,088 and 49,933 is: 75,353.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,088 : 49,933 = 49,933 : x
  2. Step 2: Convert to fraction form
    33,088/49,933 = 49,933/x
  3. Step 3: Cross multiply
    33,088x = 49,933 × 49,933
  4. Step 4: Simplify right side
    33,088x = 2,493,304,489
  5. Step 5: Solve for x
    x = 2,493,304,489/33,088
  6. Step 6: Final answer
    x = 75,353.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.