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Finding the Third Proportional to 33,978 and 49,965.75

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Solution

The third proportional to 33,978 and 49,965.75 is: 73,476.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978 : 49,965.75 = 49,965.75 : x
  2. Step 2: Convert to fraction form
    33,978/49,965.75 = 49,965.75/x
  3. Step 3: Cross multiply
    33,978x = 49,965.75 × 49,965.75
  4. Step 4: Simplify right side
    33,978x = 2,496,576,173.06
  5. Step 5: Solve for x
    x = 2,496,576,173.06/33,978
  6. Step 6: Final answer
    x = 73,476.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.