Finding the Third Proportional to 5,494 and 12,962
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Solution
The third proportional to 5,494 and 12,962 is: 30,581.26
Step by Step Solution
- Step 1: Write the proportion equation
5,494 : 12,962 = 12,962 : x - Step 2: Convert to fraction form
5,494/12,962 = 12,962/x - Step 3: Cross multiply
5,494x = 12,962 × 12,962 - Step 4: Simplify right side
5,494x = 168,013,444 - Step 5: Solve for x
x = 168,013,444/5,494 - Step 6: Final answer
x = 30,581.26
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.