Finding the Third Proportional to 32,416 and 71,636
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Solution
The third proportional to 32,416 and 71,636 is: 158,308.13
Step by Step Solution
- Step 1: Write the proportion equation
32,416 : 71,636 = 71,636 : x - Step 2: Convert to fraction form
32,416/71,636 = 71,636/x - Step 3: Cross multiply
32,416x = 71,636 × 71,636 - Step 4: Simplify right side
32,416x = 5,131,716,496 - Step 5: Solve for x
x = 5,131,716,496/32,416 - Step 6: Final answer
x = 158,308.13
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.