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Finding the Third Proportional to 2,131.31 and 3,612.09

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Solution

The third proportional to 2,131.31 and 3,612.09 is: 6,121.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.31 : 3,612.09 = 3,612.09 : x
  2. Step 2: Convert to fraction form
    2,131.31/3,612.09 = 3,612.09/x
  3. Step 3: Cross multiply
    2,131.31x = 3,612.09 × 3,612.09
  4. Step 4: Simplify right side
    2,131.31x = 13,047,221.26
  5. Step 5: Solve for x
    x = 13,047,221.26/2,131.31
  6. Step 6: Final answer
    x = 6,121.68

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.