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Finding the Third Proportional to 1,648.69 and 3,394.83

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Solution

The third proportional to 1,648.69 and 3,394.83 is: 6,990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.69 : 3,394.83 = 3,394.83 : x
  2. Step 2: Convert to fraction form
    1,648.69/3,394.83 = 3,394.83/x
  3. Step 3: Cross multiply
    1,648.69x = 3,394.83 × 3,394.83
  4. Step 4: Simplify right side
    1,648.69x = 11,524,858.00
  5. Step 5: Solve for x
    x = 11,524,858.00/1,648.69
  6. Step 6: Final answer
    x = 6,990.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.