Finding the Third Proportional to 49,654 and 74,945
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Solution
The third proportional to 49,654 and 74,945 is: 113,117.84
Step by Step Solution
- Step 1: Write the proportion equation
49,654 : 74,945 = 74,945 : x - Step 2: Convert to fraction form
49,654/74,945 = 74,945/x - Step 3: Cross multiply
49,654x = 74,945 × 74,945 - Step 4: Simplify right side
49,654x = 5,616,753,025 - Step 5: Solve for x
x = 5,616,753,025/49,654 - Step 6: Final answer
x = 113,117.84
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.