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Finding the Third Proportional to 1,693.69 and 3,466.69

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Solution

The third proportional to 1,693.69 and 3,466.69 is: 7,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.69 : 3,466.69 = 3,466.69 : x
  2. Step 2: Convert to fraction form
    1,693.69/3,466.69 = 3,466.69/x
  3. Step 3: Cross multiply
    1,693.69x = 3,466.69 × 3,466.69
  4. Step 4: Simplify right side
    1,693.69x = 12,017,922.22
  5. Step 5: Solve for x
    x = 12,017,922.22/1,693.69
  6. Step 6: Final answer
    x = 7,095.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.