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Finding the Third Proportional to 735.75 and 1,621.69

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Solution

The third proportional to 735.75 and 1,621.69 is: 3,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.75 : 1,621.69 = 1,621.69 : x
  2. Step 2: Convert to fraction form
    735.75/1,621.69 = 1,621.69/x
  3. Step 3: Cross multiply
    735.75x = 1,621.69 × 1,621.69
  4. Step 4: Simplify right side
    735.75x = 2,629,870.35
  5. Step 5: Solve for x
    x = 2,629,870.35/735.75
  6. Step 6: Final answer
    x = 3,574.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.