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Finding the Third Proportional to 2,622.69 and 5,668.26

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Solution

The third proportional to 2,622.69 and 5,668.26 is: 12,250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.69 : 5,668.26 = 5,668.26 : x
  2. Step 2: Convert to fraction form
    2,622.69/5,668.26 = 5,668.26/x
  3. Step 3: Cross multiply
    2,622.69x = 5,668.26 × 5,668.26
  4. Step 4: Simplify right side
    2,622.69x = 32,129,168.77
  5. Step 5: Solve for x
    x = 32,129,168.77/2,622.69
  6. Step 6: Final answer
    x = 12,250.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.