Finding the Third Proportional to 2,504 and 5,497
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Solution
The third proportional to 2,504 and 5,497 is: 12,067.50
Step by Step Solution
- Step 1: Write the proportion equation
2,504 : 5,497 = 5,497 : x - Step 2: Convert to fraction form
2,504/5,497 = 5,497/x - Step 3: Cross multiply
2,504x = 5,497 × 5,497 - Step 4: Simplify right side
2,504x = 30,217,009 - Step 5: Solve for x
x = 30,217,009/2,504 - Step 6: Final answer
x = 12,067.50
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.