Finding the Third Proportional to 2,122 and 2,536
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Solution
The third proportional to 2,122 and 2,536 is: 3,030.77
Step by Step Solution
- Step 1: Write the proportion equation
2,122 : 2,536 = 2,536 : x - Step 2: Convert to fraction form
2,122/2,536 = 2,536/x - Step 3: Cross multiply
2,122x = 2,536 × 2,536 - Step 4: Simplify right side
2,122x = 6,431,296 - Step 5: Solve for x
x = 6,431,296/2,122 - Step 6: Final answer
x = 3,030.77
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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.