Finding the Third Proportional to 5,760 and 7,596
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Solution
The third proportional to 5,760 and 7,596 is: 10,017.23
Step by Step Solution
- Step 1: Write the proportion equation
5,760 : 7,596 = 7,596 : x - Step 2: Convert to fraction form
5,760/7,596 = 7,596/x - Step 3: Cross multiply
5,760x = 7,596 × 7,596 - Step 4: Simplify right side
5,760x = 57,699,216 - Step 5: Solve for x
x = 57,699,216/5,760 - Step 6: Final answer
x = 10,017.23
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Why These Related Problems?
These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.