Finding the Third Proportional to 32,202 and 77,571
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Solution
The third proportional to 32,202 and 77,571 is: 186,859.82
Step by Step Solution
- Step 1: Write the proportion equation
32,202 : 77,571 = 77,571 : x - Step 2: Convert to fraction form
32,202/77,571 = 77,571/x - Step 3: Cross multiply
32,202x = 77,571 × 77,571 - Step 4: Simplify right side
32,202x = 6,017,260,041 - Step 5: Solve for x
x = 6,017,260,041/32,202 - Step 6: Final answer
x = 186,859.82
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.