Finding the Third Proportional to 31,722 and 68,790
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Solution
The third proportional to 31,722 and 68,790 is: 149,172.94
Step by Step Solution
- Step 1: Write the proportion equation
31,722 : 68,790 = 68,790 : x - Step 2: Convert to fraction form
31,722/68,790 = 68,790/x - Step 3: Cross multiply
31,722x = 68,790 × 68,790 - Step 4: Simplify right side
31,722x = 4,732,064,100 - Step 5: Solve for x
x = 4,732,064,100/31,722 - Step 6: Final answer
x = 149,172.94
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.