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Finding the Third Proportional to 4,184.44 and 6,727.78

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Solution

The third proportional to 4,184.44 and 6,727.78 is: 10,817.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.44 : 6,727.78 = 6,727.78 : x
  2. Step 2: Convert to fraction form
    4,184.44/6,727.78 = 6,727.78/x
  3. Step 3: Cross multiply
    4,184.44x = 6,727.78 × 6,727.78
  4. Step 4: Simplify right side
    4,184.44x = 45,263,040.55
  5. Step 5: Solve for x
    x = 45,263,040.55/4,184.44
  6. Step 6: Final answer
    x = 10,817.00

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.