Finding the Third Proportional to 48,295 and 76,847
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Solution
The third proportional to 48,295 and 76,847 is: 122,278.94
Step by Step Solution
- Step 1: Write the proportion equation
48,295 : 76,847 = 76,847 : x - Step 2: Convert to fraction form
48,295/76,847 = 76,847/x - Step 3: Cross multiply
48,295x = 76,847 × 76,847 - Step 4: Simplify right side
48,295x = 5,905,461,409 - Step 5: Solve for x
x = 5,905,461,409/48,295 - Step 6: Final answer
x = 122,278.94
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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.