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Finding the Third Proportional to 3,007.69 and 6,596.44

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Solution

The third proportional to 3,007.69 and 6,596.44 is: 14,467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.69 : 6,596.44 = 6,596.44 : x
  2. Step 2: Convert to fraction form
    3,007.69/6,596.44 = 6,596.44/x
  3. Step 3: Cross multiply
    3,007.69x = 6,596.44 × 6,596.44
  4. Step 4: Simplify right side
    3,007.69x = 43,512,987.69
  5. Step 5: Solve for x
    x = 43,512,987.69/3,007.69
  6. Step 6: Final answer
    x = 14,467.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.