Finding the Third Proportional to 49,906 and 74,662
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Solution
The third proportional to 49,906 and 74,662 is: 111,698.28
Step by Step Solution
- Step 1: Write the proportion equation
49,906 : 74,662 = 74,662 : x - Step 2: Convert to fraction form
49,906/74,662 = 74,662/x - Step 3: Cross multiply
49,906x = 74,662 × 74,662 - Step 4: Simplify right side
49,906x = 5,574,414,244 - Step 5: Solve for x
x = 5,574,414,244/49,906 - Step 6: Final answer
x = 111,698.28
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.