Finding the Third Proportional to 27,832 and 41,748
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Solution
The third proportional to 27,832 and 41,748 is: 62,622
Step by Step Solution
- Step 1: Write the proportion equation
27,832 : 41,748 = 41,748 : x - Step 2: Convert to fraction form
27,832/41,748 = 41,748/x - Step 3: Cross multiply
27,832x = 41,748 × 41,748 - Step 4: Simplify right side
27,832x = 1,742,895,504 - Step 5: Solve for x
x = 1,742,895,504/27,832 - Step 6: Final answer
x = 62,622
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1.5x scale
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.