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Finding the Third Proportional to 5,651.44 and 12,391.31

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Solution

The third proportional to 5,651.44 and 12,391.31 is: 27,169.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,651.44 : 12,391.31 = 12,391.31 : x
  2. Step 2: Convert to fraction form
    5,651.44/12,391.31 = 12,391.31/x
  3. Step 3: Cross multiply
    5,651.44x = 12,391.31 × 12,391.31
  4. Step 4: Simplify right side
    5,651.44x = 153,544,625.47
  5. Step 5: Solve for x
    x = 153,544,625.47/5,651.44
  6. Step 6: Final answer
    x = 27,169.13

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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.