Finding the Third Proportional to 5,734.75 and 12,158.75
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Solution
The third proportional to 5,734.75 and 12,158.75 is: 25,778.84
Step by Step Solution
- Step 1: Write the proportion equation
5,734.75 : 12,158.75 = 12,158.75 : x - Step 2: Convert to fraction form
5,734.75/12,158.75 = 12,158.75/x - Step 3: Cross multiply
5,734.75x = 12,158.75 × 12,158.75 - Step 4: Simplify right side
5,734.75x = 147,835,201.56 - Step 5: Solve for x
x = 147,835,201.56/5,734.75 - Step 6: Final answer
x = 25,778.84
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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.