Finding the Third Proportional to 38,016 and 57,024
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Solution
The third proportional to 38,016 and 57,024 is: 85,536
Step by Step Solution
- Step 1: Write the proportion equation
38,016 : 57,024 = 57,024 : x - Step 2: Convert to fraction form
38,016/57,024 = 57,024/x - Step 3: Cross multiply
38,016x = 57,024 × 57,024 - Step 4: Simplify right side
38,016x = 3,251,736,576 - Step 5: Solve for x
x = 3,251,736,576/38,016 - Step 6: Final answer
x = 85,536
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.