Finding the Third Proportional to 23,914 and 32,827
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Solution
The third proportional to 23,914 and 32,827 is: 45,061.97
Step by Step Solution
- Step 1: Write the proportion equation
23,914 : 32,827 = 32,827 : x - Step 2: Convert to fraction form
23,914/32,827 = 32,827/x - Step 3: Cross multiply
23,914x = 32,827 × 32,827 - Step 4: Simplify right side
23,914x = 1,077,611,929 - Step 5: Solve for x
x = 1,077,611,929/23,914 - Step 6: Final answer
x = 45,061.97
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.