Finding the Third Proportional to 36,202 and 75,685
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Solution
The third proportional to 36,202 and 75,685 is: 158,229.36
Step by Step Solution
- Step 1: Write the proportion equation
36,202 : 75,685 = 75,685 : x - Step 2: Convert to fraction form
36,202/75,685 = 75,685/x - Step 3: Cross multiply
36,202x = 75,685 × 75,685 - Step 4: Simplify right side
36,202x = 5,728,219,225 - Step 5: Solve for x
x = 5,728,219,225/36,202 - Step 6: Final answer
x = 158,229.36
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.