Finding the Third Proportional to 2,744 and 4,032
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Solution
The third proportional to 2,744 and 4,032 is: 5,924.57
Step by Step Solution
- Step 1: Write the proportion equation
2,744 : 4,032 = 4,032 : x - Step 2: Convert to fraction form
2,744/4,032 = 4,032/x - Step 3: Cross multiply
2,744x = 4,032 × 4,032 - Step 4: Simplify right side
2,744x = 16,257,024 - Step 5: Solve for x
x = 16,257,024/2,744 - Step 6: Final answer
x = 5,924.57
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.