Finding the Third Proportional to 48,305 and 72,012
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Solution
The third proportional to 48,305 and 72,012 is: 107,353.86
Step by Step Solution
- Step 1: Write the proportion equation
48,305 : 72,012 = 72,012 : x - Step 2: Convert to fraction form
48,305/72,012 = 72,012/x - Step 3: Cross multiply
48,305x = 72,012 × 72,012 - Step 4: Simplify right side
48,305x = 5,185,728,144 - Step 5: Solve for x
x = 5,185,728,144/48,305 - Step 6: Final answer
x = 107,353.86
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.