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Finding the Third Proportional to 1,601.44 and 2,406.38

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Solution

The third proportional to 1,601.44 and 2,406.38 is: 3,615.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.44 : 2,406.38 = 2,406.38 : x
  2. Step 2: Convert to fraction form
    1,601.44/2,406.38 = 2,406.38/x
  3. Step 3: Cross multiply
    1,601.44x = 2,406.38 × 2,406.38
  4. Step 4: Simplify right side
    1,601.44x = 5,790,640.64
  5. Step 5: Solve for x
    x = 5,790,640.64/1,601.44
  6. Step 6: Final answer
    x = 3,615.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.