Finding the Third Proportional to 32,049 and 73,773
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Solution
The third proportional to 32,049 and 73,773 is: 169,816.70
Step by Step Solution
- Step 1: Write the proportion equation
32,049 : 73,773 = 73,773 : x - Step 2: Convert to fraction form
32,049/73,773 = 73,773/x - Step 3: Cross multiply
32,049x = 73,773 × 73,773 - Step 4: Simplify right side
32,049x = 5,442,455,529 - Step 5: Solve for x
x = 5,442,455,529/32,049 - Step 6: Final answer
x = 169,816.70
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Why These Related Problems?
These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.