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Finding the Third Proportional to 2,203.31 and 3,021.19

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Solution

The third proportional to 2,203.31 and 3,021.19 is: 4,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.31 : 3,021.19 = 3,021.19 : x
  2. Step 2: Convert to fraction form
    2,203.31/3,021.19 = 3,021.19/x
  3. Step 3: Cross multiply
    2,203.31x = 3,021.19 × 3,021.19
  4. Step 4: Simplify right side
    2,203.31x = 9,127,573.91
  5. Step 5: Solve for x
    x = 9,127,573.91/2,203.31
  6. Step 6: Final answer
    x = 4,142.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.