Finding the Third Proportional to 8,072 and 10,956
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Solution
The third proportional to 8,072 and 10,956 is: 14,870.41
Step by Step Solution
- Step 1: Write the proportion equation
8,072 : 10,956 = 10,956 : x - Step 2: Convert to fraction form
8,072/10,956 = 10,956/x - Step 3: Cross multiply
8,072x = 10,956 × 10,956 - Step 4: Simplify right side
8,072x = 120,033,936 - Step 5: Solve for x
x = 120,033,936/8,072 - Step 6: Final answer
x = 14,870.41
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.