Finding the Third Proportional to 2,153.44 and 4,563.09
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Solution
The third proportional to 2,153.44 and 4,563.09 is: 9,669.11
Step by Step Solution
- Step 1: Write the proportion equation
2,153.44 : 4,563.09 = 4,563.09 : x - Step 2: Convert to fraction form
2,153.44/4,563.09 = 4,563.09/x - Step 3: Cross multiply
2,153.44x = 4,563.09 × 4,563.09 - Step 4: Simplify right side
2,153.44x = 20,821,824.57 - Step 5: Solve for x
x = 20,821,824.57/2,153.44 - Step 6: Final answer
x = 9,669.11
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.