Finding the Third Proportional to 31,324 and 45,736
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Solution
The third proportional to 31,324 and 45,736 is: 66,778.88
Step by Step Solution
- Step 1: Write the proportion equation
31,324 : 45,736 = 45,736 : x - Step 2: Convert to fraction form
31,324/45,736 = 45,736/x - Step 3: Cross multiply
31,324x = 45,736 × 45,736 - Step 4: Simplify right side
31,324x = 2,091,781,696 - Step 5: Solve for x
x = 2,091,781,696/31,324 - Step 6: Final answer
x = 66,778.88
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.