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Finding the Third Proportional to 6,194.81 and 12,902.44

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Solution

The third proportional to 6,194.81 and 12,902.44 is: 26,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.81 : 12,902.44 = 12,902.44 : x
  2. Step 2: Convert to fraction form
    6,194.81/12,902.44 = 12,902.44/x
  3. Step 3: Cross multiply
    6,194.81x = 12,902.44 × 12,902.44
  4. Step 4: Simplify right side
    6,194.81x = 166,472,893.44
  5. Step 5: Solve for x
    x = 166,472,893.44/6,194.81
  6. Step 6: Final answer
    x = 26,872.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.