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Finding the Third Proportional to 3,650.70 and 5,720.41

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Solution

The third proportional to 3,650.70 and 5,720.41 is: 8,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650.70 : 5,720.41 = 5,720.41 : x
  2. Step 2: Convert to fraction form
    3,650.70/5,720.41 = 5,720.41/x
  3. Step 3: Cross multiply
    3,650.70x = 5,720.41 × 5,720.41
  4. Step 4: Simplify right side
    3,650.70x = 32,723,137.05
  5. Step 5: Solve for x
    x = 32,723,137.05/3,650.70
  6. Step 6: Final answer
    x = 8,963.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.