Finding the Third Proportional to 40,644 and 57,942
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Solution
The third proportional to 40,644 and 57,942 is: 82,601.99
Step by Step Solution
- Step 1: Write the proportion equation
40,644 : 57,942 = 57,942 : x - Step 2: Convert to fraction form
40,644/57,942 = 57,942/x - Step 3: Cross multiply
40,644x = 57,942 × 57,942 - Step 4: Simplify right side
40,644x = 3,357,275,364 - Step 5: Solve for x
x = 3,357,275,364/40,644 - Step 6: Final answer
x = 82,601.99
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.