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Finding the Third Proportional to 1,533.94 and 3,027.38

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Solution

The third proportional to 1,533.94 and 3,027.38 is: 5,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.94 : 3,027.38 = 3,027.38 : x
  2. Step 2: Convert to fraction form
    1,533.94/3,027.38 = 3,027.38/x
  3. Step 3: Cross multiply
    1,533.94x = 3,027.38 × 3,027.38
  4. Step 4: Simplify right side
    1,533.94x = 9,164,999.39
  5. Step 5: Solve for x
    x = 9,164,999.39/1,533.94
  6. Step 6: Final answer
    x = 5,974.82

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.