Finding the Third Proportional to 50,092.50 and 74,982
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Solution
The third proportional to 50,092.50 and 74,982 is: 112,238.37
Step by Step Solution
- Step 1: Write the proportion equation
50,092.50 : 74,982 = 74,982 : x - Step 2: Convert to fraction form
50,092.50/74,982 = 74,982/x - Step 3: Cross multiply
50,092.50x = 74,982 × 74,982 - Step 4: Simplify right side
50,092.50x = 5,622,300,324 - Step 5: Solve for x
x = 5,622,300,324/50,092.50 - Step 6: Final answer
x = 112,238.37
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.