Finding the Third Proportional to 2,214.84 and 4,861.97
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Solution
The third proportional to 2,214.84 and 4,861.97 is: 10,672.87
Step by Step Solution
- Step 1: Write the proportion equation
2,214.84 : 4,861.97 = 4,861.97 : x - Step 2: Convert to fraction form
2,214.84/4,861.97 = 4,861.97/x - Step 3: Cross multiply
2,214.84x = 4,861.97 × 4,861.97 - Step 4: Simplify right side
2,214.84x = 23,638,740.13 - Step 5: Solve for x
x = 23,638,740.13/2,214.84 - Step 6: Final answer
x = 10,672.87
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.