Finding the Third Proportional to 31,072 and 67,088
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Solution
The third proportional to 31,072 and 67,088 is: 144,850.66
Step by Step Solution
- Step 1: Write the proportion equation
31,072 : 67,088 = 67,088 : x - Step 2: Convert to fraction form
31,072/67,088 = 67,088/x - Step 3: Cross multiply
31,072x = 67,088 × 67,088 - Step 4: Simplify right side
31,072x = 4,500,799,744 - Step 5: Solve for x
x = 4,500,799,744/31,072 - Step 6: Final answer
x = 144,850.66
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.