Finding the Third Proportional to 40,996 and 83,912
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Solution
The third proportional to 40,996 and 83,912 is: 171,753.92
Step by Step Solution
- Step 1: Write the proportion equation
40,996 : 83,912 = 83,912 : x - Step 2: Convert to fraction form
40,996/83,912 = 83,912/x - Step 3: Cross multiply
40,996x = 83,912 × 83,912 - Step 4: Simplify right side
40,996x = 7,041,223,744 - Step 5: Solve for x
x = 7,041,223,744/40,996 - Step 6: Final answer
x = 171,753.92
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.