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Finding the Third Proportional to 3,590.44 and 5,419.69

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Solution

The third proportional to 3,590.44 and 5,419.69 is: 8,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.44 : 5,419.69 = 5,419.69 : x
  2. Step 2: Convert to fraction form
    3,590.44/5,419.69 = 5,419.69/x
  3. Step 3: Cross multiply
    3,590.44x = 5,419.69 × 5,419.69
  4. Step 4: Simplify right side
    3,590.44x = 29,373,012.60
  5. Step 5: Solve for x
    x = 29,373,012.60/3,590.44
  6. Step 6: Final answer
    x = 8,180.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.