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Finding the Third Proportional to 6,022.69 and 12,941.44

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Solution

The third proportional to 6,022.69 and 12,941.44 is: 27,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.69 : 12,941.44 = 12,941.44 : x
  2. Step 2: Convert to fraction form
    6,022.69/12,941.44 = 12,941.44/x
  3. Step 3: Cross multiply
    6,022.69x = 12,941.44 × 12,941.44
  4. Step 4: Simplify right side
    6,022.69x = 167,480,804.57
  5. Step 5: Solve for x
    x = 167,480,804.57/6,022.69
  6. Step 6: Final answer
    x = 27,808.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.