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Finding the Third Proportional to 4,308.19 and 6,099.05

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Solution

The third proportional to 4,308.19 and 6,099.05 is: 8,634.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.19 : 6,099.05 = 6,099.05 : x
  2. Step 2: Convert to fraction form
    4,308.19/6,099.05 = 6,099.05/x
  3. Step 3: Cross multiply
    4,308.19x = 6,099.05 × 6,099.05
  4. Step 4: Simplify right side
    4,308.19x = 37,198,372.78
  5. Step 5: Solve for x
    x = 37,198,372.78/4,308.19
  6. Step 6: Final answer
    x = 8,634.34

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.