Finding the Third Proportional to 36,984 and 77,856
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Solution
The third proportional to 36,984 and 77,856 is: 163,896.73
Step by Step Solution
- Step 1: Write the proportion equation
36,984 : 77,856 = 77,856 : x - Step 2: Convert to fraction form
36,984/77,856 = 77,856/x - Step 3: Cross multiply
36,984x = 77,856 × 77,856 - Step 4: Simplify right side
36,984x = 6,061,556,736 - Step 5: Solve for x
x = 6,061,556,736/36,984 - Step 6: Final answer
x = 163,896.73
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.