Finding the Third Proportional to 41,422 and 55,940
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Solution
The third proportional to 41,422 and 55,940 is: 75,546.41
Step by Step Solution
- Step 1: Write the proportion equation
41,422 : 55,940 = 55,940 : x - Step 2: Convert to fraction form
41,422/55,940 = 55,940/x - Step 3: Cross multiply
41,422x = 55,940 × 55,940 - Step 4: Simplify right side
41,422x = 3,129,283,600 - Step 5: Solve for x
x = 3,129,283,600/41,422 - Step 6: Final answer
x = 75,546.41
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.