Finding the Third Proportional to 38,144 and 79,776
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Solution
The third proportional to 38,144 and 79,776 is: 166,846.95
Step by Step Solution
- Step 1: Write the proportion equation
38,144 : 79,776 = 79,776 : x - Step 2: Convert to fraction form
38,144/79,776 = 79,776/x - Step 3: Cross multiply
38,144x = 79,776 × 79,776 - Step 4: Simplify right side
38,144x = 6,364,210,176 - Step 5: Solve for x
x = 6,364,210,176/38,144 - Step 6: Final answer
x = 166,846.95
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.