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Finding the Third Proportional to 5,994.94 and 14,002.22

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Solution

The third proportional to 5,994.94 and 14,002.22 is: 32,704.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994.94 : 14,002.22 = 14,002.22 : x
  2. Step 2: Convert to fraction form
    5,994.94/14,002.22 = 14,002.22/x
  3. Step 3: Cross multiply
    5,994.94x = 14,002.22 × 14,002.22
  4. Step 4: Simplify right side
    5,994.94x = 196,062,129.92
  5. Step 5: Solve for x
    x = 196,062,129.92/5,994.94
  6. Step 6: Final answer
    x = 32,704.62

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.