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Finding the Third Proportional to 1,609 and 2,489.75

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Solution

The third proportional to 1,609 and 2,489.75 is: 3,852.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609 : 2,489.75 = 2,489.75 : x
  2. Step 2: Convert to fraction form
    1,609/2,489.75 = 2,489.75/x
  3. Step 3: Cross multiply
    1,609x = 2,489.75 × 2,489.75
  4. Step 4: Simplify right side
    1,609x = 6,198,855.06
  5. Step 5: Solve for x
    x = 6,198,855.06/1,609
  6. Step 6: Final answer
    x = 3,852.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.