Finding the Third Proportional to 4,596 and 6,894
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Solution
The third proportional to 4,596 and 6,894 is: 10,341
Step by Step Solution
- Step 1: Write the proportion equation
4,596 : 6,894 = 6,894 : x - Step 2: Convert to fraction form
4,596/6,894 = 6,894/x - Step 3: Cross multiply
4,596x = 6,894 × 6,894 - Step 4: Simplify right side
4,596x = 47,527,236 - Step 5: Solve for x
x = 47,527,236/4,596 - Step 6: Final answer
x = 10,341
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.