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Finding the Third Proportional to 4,122.56 and 8,038.83

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Solution

The third proportional to 4,122.56 and 8,038.83 is: 15,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122.56 : 8,038.83 = 8,038.83 : x
  2. Step 2: Convert to fraction form
    4,122.56/8,038.83 = 8,038.83/x
  3. Step 3: Cross multiply
    4,122.56x = 8,038.83 × 8,038.83
  4. Step 4: Simplify right side
    4,122.56x = 64,622,757.62
  5. Step 5: Solve for x
    x = 64,622,757.62/4,122.56
  6. Step 6: Final answer
    x = 15,675.39

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.