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Finding the Third Proportional to 3,113.91 and 6,141.33

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Solution

The third proportional to 3,113.91 and 6,141.33 is: 12,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113.91 : 6,141.33 = 6,141.33 : x
  2. Step 2: Convert to fraction form
    3,113.91/6,141.33 = 6,141.33/x
  3. Step 3: Cross multiply
    3,113.91x = 6,141.33 × 6,141.33
  4. Step 4: Simplify right side
    3,113.91x = 37,715,893.15
  5. Step 5: Solve for x
    x = 37,715,893.15/3,113.91
  6. Step 6: Final answer
    x = 12,112.06

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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.