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Finding the Third Proportional to 2,027.81 and 3,131.34

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Solution

The third proportional to 2,027.81 and 3,131.34 is: 4,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.81 : 3,131.34 = 3,131.34 : x
  2. Step 2: Convert to fraction form
    2,027.81/3,131.34 = 3,131.34/x
  3. Step 3: Cross multiply
    2,027.81x = 3,131.34 × 3,131.34
  4. Step 4: Simplify right side
    2,027.81x = 9,805,313.68
  5. Step 5: Solve for x
    x = 9,805,313.68/2,027.81
  6. Step 6: Final answer
    x = 4,835.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.