Finding the Third Proportional to 31,896 and 67,944
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Solution
The third proportional to 31,896 and 67,944 is: 144,732.48
Step by Step Solution
- Step 1: Write the proportion equation
31,896 : 67,944 = 67,944 : x - Step 2: Convert to fraction form
31,896/67,944 = 67,944/x - Step 3: Cross multiply
31,896x = 67,944 × 67,944 - Step 4: Simplify right side
31,896x = 4,616,387,136 - Step 5: Solve for x
x = 4,616,387,136/31,896 - Step 6: Final answer
x = 144,732.48
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.