Finding the Third Proportional to 31,016 and 46,450
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Solution
The third proportional to 31,016 and 46,450 is: 69,564.18
Step by Step Solution
- Step 1: Write the proportion equation
31,016 : 46,450 = 46,450 : x - Step 2: Convert to fraction form
31,016/46,450 = 46,450/x - Step 3: Cross multiply
31,016x = 46,450 × 46,450 - Step 4: Simplify right side
31,016x = 2,157,602,500 - Step 5: Solve for x
x = 2,157,602,500/31,016 - Step 6: Final answer
x = 69,564.18
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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.