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Finding the Third Proportional to 3,601.50 and 5,404.50

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Solution

The third proportional to 3,601.50 and 5,404.50 is: 8,110.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.50 : 5,404.50 = 5,404.50 : x
  2. Step 2: Convert to fraction form
    3,601.50/5,404.50 = 5,404.50/x
  3. Step 3: Cross multiply
    3,601.50x = 5,404.50 × 5,404.50
  4. Step 4: Simplify right side
    3,601.50x = 29,208,620.25
  5. Step 5: Solve for x
    x = 29,208,620.25/3,601.50
  6. Step 6: Final answer
    x = 8,110.13

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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.