Finding the Third Proportional to 2,034 and 2,325
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Solution
The third proportional to 2,034 and 2,325 is: 2,657.63
Step by Step Solution
- Step 1: Write the proportion equation
2,034 : 2,325 = 2,325 : x - Step 2: Convert to fraction form
2,034/2,325 = 2,325/x - Step 3: Cross multiply
2,034x = 2,325 × 2,325 - Step 4: Simplify right side
2,034x = 5,405,625 - Step 5: Solve for x
x = 5,405,625/2,034 - Step 6: Final answer
x = 2,657.63
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.