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Finding the Third Proportional to 4,672.69 and 8,439.19

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Solution

The third proportional to 4,672.69 and 8,439.19 is: 15,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.69 : 8,439.19 = 8,439.19 : x
  2. Step 2: Convert to fraction form
    4,672.69/8,439.19 = 8,439.19/x
  3. Step 3: Cross multiply
    4,672.69x = 8,439.19 × 8,439.19
  4. Step 4: Simplify right side
    4,672.69x = 71,219,885.66
  5. Step 5: Solve for x
    x = 71,219,885.66/4,672.69
  6. Step 6: Final answer
    x = 15,241.74

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.