Finding the Third Proportional to 48,976 and 75,696
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Solution
The third proportional to 48,976 and 75,696 is: 116,993.72
Step by Step Solution
- Step 1: Write the proportion equation
48,976 : 75,696 = 75,696 : x - Step 2: Convert to fraction form
48,976/75,696 = 75,696/x - Step 3: Cross multiply
48,976x = 75,696 × 75,696 - Step 4: Simplify right side
48,976x = 5,729,884,416 - Step 5: Solve for x
x = 5,729,884,416/48,976 - Step 6: Final answer
x = 116,993.72
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.