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Finding the Third Proportional to 5,879.25 and 12,047.06

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Solution

The third proportional to 5,879.25 and 12,047.06 is: 24,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.25 : 12,047.06 = 12,047.06 : x
  2. Step 2: Convert to fraction form
    5,879.25/12,047.06 = 12,047.06/x
  3. Step 3: Cross multiply
    5,879.25x = 12,047.06 × 12,047.06
  4. Step 4: Simplify right side
    5,879.25x = 145,131,714.88
  5. Step 5: Solve for x
    x = 145,131,714.88/5,879.25
  6. Step 6: Final answer
    x = 24,685.41

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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.