Finding the Third Proportional to 30,472 and 45,792
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Solution
The third proportional to 30,472 and 45,792 is: 68,814.23
Step by Step Solution
- Step 1: Write the proportion equation
30,472 : 45,792 = 45,792 : x - Step 2: Convert to fraction form
30,472/45,792 = 45,792/x - Step 3: Cross multiply
30,472x = 45,792 × 45,792 - Step 4: Simplify right side
30,472x = 2,096,907,264 - Step 5: Solve for x
x = 2,096,907,264/30,472 - Step 6: Final answer
x = 68,814.23
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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.