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Finding the Third Proportional to 3,984.19 and 6,099.05

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Solution

The third proportional to 3,984.19 and 6,099.05 is: 9,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.19 : 6,099.05 = 6,099.05 : x
  2. Step 2: Convert to fraction form
    3,984.19/6,099.05 = 6,099.05/x
  3. Step 3: Cross multiply
    3,984.19x = 6,099.05 × 6,099.05
  4. Step 4: Simplify right side
    3,984.19x = 37,198,372.78
  5. Step 5: Solve for x
    x = 37,198,372.78/3,984.19
  6. Step 6: Final answer
    x = 9,336.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.