Finding the Third Proportional to 2,114.63 and 3,729.75
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Solution
The third proportional to 2,114.63 and 3,729.75 is: 6,578.49
Step by Step Solution
- Step 1: Write the proportion equation
2,114.63 : 3,729.75 = 3,729.75 : x - Step 2: Convert to fraction form
2,114.63/3,729.75 = 3,729.75/x - Step 3: Cross multiply
2,114.63x = 3,729.75 × 3,729.75 - Step 4: Simplify right side
2,114.63x = 13,911,035.06 - Step 5: Solve for x
x = 13,911,035.06/2,114.63 - Step 6: Final answer
x = 6,578.49
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Why These Related Problems?
These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.