Finding the Third Proportional to 21,016 and 31,960
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Solution
The third proportional to 21,016 and 31,960 is: 48,603.05
Step by Step Solution
- Step 1: Write the proportion equation
21,016 : 31,960 = 31,960 : x - Step 2: Convert to fraction form
21,016/31,960 = 31,960/x - Step 3: Cross multiply
21,016x = 31,960 × 31,960 - Step 4: Simplify right side
21,016x = 1,021,441,600 - Step 5: Solve for x
x = 1,021,441,600/21,016 - Step 6: Final answer
x = 48,603.05
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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.