Finding the Third Proportional to 41,397 and 89,997
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Solution
The third proportional to 41,397 and 89,997 is: 195,653.31
Step by Step Solution
- Step 1: Write the proportion equation
41,397 : 89,997 = 89,997 : x - Step 2: Convert to fraction form
41,397/89,997 = 89,997/x - Step 3: Cross multiply
41,397x = 89,997 × 89,997 - Step 4: Simplify right side
41,397x = 8,099,460,009 - Step 5: Solve for x
x = 8,099,460,009/41,397 - Step 6: Final answer
x = 195,653.31
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.