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Finding the Third Proportional to 1,650.38 and 3,573.49

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Solution

The third proportional to 1,650.38 and 3,573.49 is: 7,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.38 : 3,573.49 = 3,573.49 : x
  2. Step 2: Convert to fraction form
    1,650.38/3,573.49 = 3,573.49/x
  3. Step 3: Cross multiply
    1,650.38x = 3,573.49 × 3,573.49
  4. Step 4: Simplify right side
    1,650.38x = 12,769,846.41
  5. Step 5: Solve for x
    x = 12,769,846.41/1,650.38
  6. Step 6: Final answer
    x = 7,737.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.