Finding the Third Proportional to 2,176 and 4,624
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Solution
The third proportional to 2,176 and 4,624 is: 9,826
Step by Step Solution
- Step 1: Write the proportion equation
2,176 : 4,624 = 4,624 : x - Step 2: Convert to fraction form
2,176/4,624 = 4,624/x - Step 3: Cross multiply
2,176x = 4,624 × 4,624 - Step 4: Simplify right side
2,176x = 21,381,376 - Step 5: Solve for x
x = 21,381,376/2,176 - Step 6: Final answer
x = 9,826
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.