Finding the Third Proportional to 27,178 and 42,006
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Solution
The third proportional to 27,178 and 42,006 is: 64,923.98
Step by Step Solution
- Step 1: Write the proportion equation
27,178 : 42,006 = 42,006 : x - Step 2: Convert to fraction form
27,178/42,006 = 42,006/x - Step 3: Cross multiply
27,178x = 42,006 × 42,006 - Step 4: Simplify right side
27,178x = 1,764,504,036 - Step 5: Solve for x
x = 1,764,504,036/27,178 - Step 6: Final answer
x = 64,923.98
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.