Finding the Third Proportional to 31,218 and 67,989
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Solution
The third proportional to 31,218 and 67,989 is: 148,071.76
Step by Step Solution
- Step 1: Write the proportion equation
31,218 : 67,989 = 67,989 : x - Step 2: Convert to fraction form
31,218/67,989 = 67,989/x - Step 3: Cross multiply
31,218x = 67,989 × 67,989 - Step 4: Simplify right side
31,218x = 4,622,504,121 - Step 5: Solve for x
x = 4,622,504,121/31,218 - Step 6: Final answer
x = 148,071.76
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.