Finding the Third Proportional to 5,498 and 11,860
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Solution
The third proportional to 5,498 and 11,860 is: 25,583.78
Step by Step Solution
- Step 1: Write the proportion equation
5,498 : 11,860 = 11,860 : x - Step 2: Convert to fraction form
5,498/11,860 = 11,860/x - Step 3: Cross multiply
5,498x = 11,860 × 11,860 - Step 4: Simplify right side
5,498x = 140,659,600 - Step 5: Solve for x
x = 140,659,600/5,498 - Step 6: Final answer
x = 25,583.78
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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.