Finding the Third Proportional to 45,880 and 72,996
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Solution
The third proportional to 45,880 and 72,996 is: 116,138.10
Step by Step Solution
- Step 1: Write the proportion equation
45,880 : 72,996 = 72,996 : x - Step 2: Convert to fraction form
45,880/72,996 = 72,996/x - Step 3: Cross multiply
45,880x = 72,996 × 72,996 - Step 4: Simplify right side
45,880x = 5,328,416,016 - Step 5: Solve for x
x = 5,328,416,016/45,880 - Step 6: Final answer
x = 116,138.10
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.