Finding the Third Proportional to 36,224 and 74,776
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Solution
The third proportional to 36,224 and 74,776 is: 154,357.61
Step by Step Solution
- Step 1: Write the proportion equation
36,224 : 74,776 = 74,776 : x - Step 2: Convert to fraction form
36,224/74,776 = 74,776/x - Step 3: Cross multiply
36,224x = 74,776 × 74,776 - Step 4: Simplify right side
36,224x = 5,591,450,176 - Step 5: Solve for x
x = 5,591,450,176/36,224 - Step 6: Final answer
x = 154,357.61
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.