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Finding the Third Proportional to 1,609 and 4,285

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Solution

The third proportional to 1,609 and 4,285 is: 11,411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609 : 4,285 = 4,285 : x
  2. Step 2: Convert to fraction form
    1,609/4,285 = 4,285/x
  3. Step 3: Cross multiply
    1,609x = 4,285 × 4,285
  4. Step 4: Simplify right side
    1,609x = 18,361,225
  5. Step 5: Solve for x
    x = 18,361,225/1,609
  6. Step 6: Final answer
    x = 11,411.58

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Why These Related Problems?

These problems maintain the same ratio (2.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.