Finding the Third Proportional to 5,380 and 11,656
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Solution
The third proportional to 5,380 and 11,656 is: 25,253.22
Step by Step Solution
- Step 1: Write the proportion equation
5,380 : 11,656 = 11,656 : x - Step 2: Convert to fraction form
5,380/11,656 = 11,656/x - Step 3: Cross multiply
5,380x = 11,656 × 11,656 - Step 4: Simplify right side
5,380x = 135,862,336 - Step 5: Solve for x
x = 135,862,336/5,380 - Step 6: Final answer
x = 25,253.22
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.