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Finding the Third Proportional to 33,018.75 and 57,629.25

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Solution

The third proportional to 33,018.75 and 57,629.25 is: 100,583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,018.75 : 57,629.25 = 57,629.25 : x
  2. Step 2: Convert to fraction form
    33,018.75/57,629.25 = 57,629.25/x
  3. Step 3: Cross multiply
    33,018.75x = 57,629.25 × 57,629.25
  4. Step 4: Simplify right side
    33,018.75x = 3,321,130,455.56
  5. Step 5: Solve for x
    x = 3,321,130,455.56/33,018.75
  6. Step 6: Final answer
    x = 100,583.17

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.