Finding the Third Proportional to 27,834 and 43,047
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Solution
The third proportional to 27,834 and 43,047 is: 66,574.84
Step by Step Solution
- Step 1: Write the proportion equation
27,834 : 43,047 = 43,047 : x - Step 2: Convert to fraction form
27,834/43,047 = 43,047/x - Step 3: Cross multiply
27,834x = 43,047 × 43,047 - Step 4: Simplify right side
27,834x = 1,853,044,209 - Step 5: Solve for x
x = 1,853,044,209/27,834 - Step 6: Final answer
x = 66,574.84
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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.