Finding the Third Proportional to 30,397 and 45,474
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Solution
The third proportional to 30,397 and 45,474 is: 68,029.24
Step by Step Solution
- Step 1: Write the proportion equation
30,397 : 45,474 = 45,474 : x - Step 2: Convert to fraction form
30,397/45,474 = 45,474/x - Step 3: Cross multiply
30,397x = 45,474 × 45,474 - Step 4: Simplify right side
30,397x = 2,067,884,676 - Step 5: Solve for x
x = 2,067,884,676/30,397 - Step 6: Final answer
x = 68,029.24
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.