Finding the Third Proportional to 41,406 and 64,569
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Solution
The third proportional to 41,406 and 64,569 is: 100,689.65
Step by Step Solution
- Step 1: Write the proportion equation
41,406 : 64,569 = 64,569 : x - Step 2: Convert to fraction form
41,406/64,569 = 64,569/x - Step 3: Cross multiply
41,406x = 64,569 × 64,569 - Step 4: Simplify right side
41,406x = 4,169,155,761 - Step 5: Solve for x
x = 4,169,155,761/41,406 - Step 6: Final answer
x = 100,689.65
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.