Finding the Third Proportional to 41,582 and 55,731
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Solution
The third proportional to 41,582 and 55,731 is: 74,694.44
Step by Step Solution
- Step 1: Write the proportion equation
41,582 : 55,731 = 55,731 : x - Step 2: Convert to fraction form
41,582/55,731 = 55,731/x - Step 3: Cross multiply
41,582x = 55,731 × 55,731 - Step 4: Simplify right side
41,582x = 3,105,944,361 - Step 5: Solve for x
x = 3,105,944,361/41,582 - Step 6: Final answer
x = 74,694.44
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.