Finding the Third Proportional to 39,676.50 and 57,321
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Solution
The third proportional to 39,676.50 and 57,321 is: 82,812.17
Step by Step Solution
- Step 1: Write the proportion equation
39,676.50 : 57,321 = 57,321 : x - Step 2: Convert to fraction form
39,676.50/57,321 = 57,321/x - Step 3: Cross multiply
39,676.50x = 57,321 × 57,321 - Step 4: Simplify right side
39,676.50x = 3,285,697,041 - Step 5: Solve for x
x = 3,285,697,041/39,676.50 - Step 6: Final answer
x = 82,812.17
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Why These Related Problems?
These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.