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Finding the Third Proportional to 3,118.18 and 6,814.44

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Solution

The third proportional to 3,118.18 and 6,814.44 is: 14,892.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.18 : 6,814.44 = 6,814.44 : x
  2. Step 2: Convert to fraction form
    3,118.18/6,814.44 = 6,814.44/x
  3. Step 3: Cross multiply
    3,118.18x = 6,814.44 × 6,814.44
  4. Step 4: Simplify right side
    3,118.18x = 46,436,611.68
  5. Step 5: Solve for x
    x = 46,436,611.68/3,118.18
  6. Step 6: Final answer
    x = 14,892.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.