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Finding the Third Proportional to 6,394.36 and 13,881.80

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Solution

The third proportional to 6,394.36 and 13,881.80 is: 30,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,394.36 : 13,881.80 = 13,881.80 : x
  2. Step 2: Convert to fraction form
    6,394.36/13,881.80 = 13,881.80/x
  3. Step 3: Cross multiply
    6,394.36x = 13,881.80 × 13,881.80
  4. Step 4: Simplify right side
    6,394.36x = 192,704,284.48
  5. Step 5: Solve for x
    x = 192,704,284.48/6,394.36
  6. Step 6: Final answer
    x = 30,136.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.