Finding the Third Proportional to 31,968 and 48,398
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Solution
The third proportional to 31,968 and 48,398 is: 73,272.22
Step by Step Solution
- Step 1: Write the proportion equation
31,968 : 48,398 = 48,398 : x - Step 2: Convert to fraction form
31,968/48,398 = 48,398/x - Step 3: Cross multiply
31,968x = 48,398 × 48,398 - Step 4: Simplify right side
31,968x = 2,342,366,404 - Step 5: Solve for x
x = 2,342,366,404/31,968 - Step 6: Final answer
x = 73,272.22
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.