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Finding the Third Proportional to 1,608.21 and 3,104.30

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Solution

The third proportional to 1,608.21 and 3,104.30 is: 5,992.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.21 : 3,104.30 = 3,104.30 : x
  2. Step 2: Convert to fraction form
    1,608.21/3,104.30 = 3,104.30/x
  3. Step 3: Cross multiply
    1,608.21x = 3,104.30 × 3,104.30
  4. Step 4: Simplify right side
    1,608.21x = 9,636,686.37
  5. Step 5: Solve for x
    x = 9,636,686.37/1,608.21
  6. Step 6: Final answer
    x = 5,992.17

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.