Finding the Third Proportional to 5,976 and 12,948
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Solution
The third proportional to 5,976 and 12,948 is: 28,054
Step by Step Solution
- Step 1: Write the proportion equation
5,976 : 12,948 = 12,948 : x - Step 2: Convert to fraction form
5,976/12,948 = 12,948/x - Step 3: Cross multiply
5,976x = 12,948 × 12,948 - Step 4: Simplify right side
5,976x = 167,650,704 - Step 5: Solve for x
x = 167,650,704/5,976 - Step 6: Final answer
x = 28,054
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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.