Finding the Third Proportional to 36,441 and 78,474
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Solution
The third proportional to 36,441 and 78,474 is: 168,990.11
Step by Step Solution
- Step 1: Write the proportion equation
36,441 : 78,474 = 78,474 : x - Step 2: Convert to fraction form
36,441/78,474 = 78,474/x - Step 3: Cross multiply
36,441x = 78,474 × 78,474 - Step 4: Simplify right side
36,441x = 6,158,168,676 - Step 5: Solve for x
x = 6,158,168,676/36,441 - Step 6: Final answer
x = 168,990.11
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.