Finding the Third Proportional to 5,984 and 13,976
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Solution
The third proportional to 5,984 and 13,976 is: 32,641.81
Step by Step Solution
- Step 1: Write the proportion equation
5,984 : 13,976 = 13,976 : x - Step 2: Convert to fraction form
5,984/13,976 = 13,976/x - Step 3: Cross multiply
5,984x = 13,976 × 13,976 - Step 4: Simplify right side
5,984x = 195,328,576 - Step 5: Solve for x
x = 195,328,576/5,984 - Step 6: Final answer
x = 32,641.81
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.