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Finding the Third Proportional to 1,678.22 and 3,464.44

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Solution

The third proportional to 1,678.22 and 3,464.44 is: 7,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.22 : 3,464.44 = 3,464.44 : x
  2. Step 2: Convert to fraction form
    1,678.22/3,464.44 = 3,464.44/x
  3. Step 3: Cross multiply
    1,678.22x = 3,464.44 × 3,464.44
  4. Step 4: Simplify right side
    1,678.22x = 12,002,327.19
  5. Step 5: Solve for x
    x = 12,002,327.19/1,678.22
  6. Step 6: Final answer
    x = 7,151.83

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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.