Finding the Third Proportional to 9,596 and 12,756
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Solution
The third proportional to 9,596 and 12,756 is: 16,956.60
Step by Step Solution
- Step 1: Write the proportion equation
9,596 : 12,756 = 12,756 : x - Step 2: Convert to fraction form
9,596/12,756 = 12,756/x - Step 3: Cross multiply
9,596x = 12,756 × 12,756 - Step 4: Simplify right side
9,596x = 162,715,536 - Step 5: Solve for x
x = 162,715,536/9,596 - Step 6: Final answer
x = 16,956.60
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.