Finding the Third Proportional to 39,415 and 83,941
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Solution
The third proportional to 39,415 and 83,941 is: 178,766.75
Step by Step Solution
- Step 1: Write the proportion equation
39,415 : 83,941 = 83,941 : x - Step 2: Convert to fraction form
39,415/83,941 = 83,941/x - Step 3: Cross multiply
39,415x = 83,941 × 83,941 - Step 4: Simplify right side
39,415x = 7,046,091,481 - Step 5: Solve for x
x = 7,046,091,481/39,415 - Step 6: Final answer
x = 178,766.75
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.