Finding the Third Proportional to 20,345 and 48,996
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Solution
The third proportional to 20,345 and 48,996 is: 117,994.99
Step by Step Solution
- Step 1: Write the proportion equation
20,345 : 48,996 = 48,996 : x - Step 2: Convert to fraction form
20,345/48,996 = 48,996/x - Step 3: Cross multiply
20,345x = 48,996 × 48,996 - Step 4: Simplify right side
20,345x = 2,400,608,016 - Step 5: Solve for x
x = 2,400,608,016/20,345 - Step 6: Final answer
x = 117,994.99
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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.