Finding the Third Proportional to 31,016 and 51,544
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Solution
The third proportional to 31,016 and 51,544 is: 85,658.50
Step by Step Solution
- Step 1: Write the proportion equation
31,016 : 51,544 = 51,544 : x - Step 2: Convert to fraction form
31,016/51,544 = 51,544/x - Step 3: Cross multiply
31,016x = 51,544 × 51,544 - Step 4: Simplify right side
31,016x = 2,656,783,936 - Step 5: Solve for x
x = 2,656,783,936/31,016 - Step 6: Final answer
x = 85,658.50
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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.