Finding the Third Proportional to 49,825 and 74,028
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Solution
The third proportional to 49,825 and 74,028 is: 109,987.85
Step by Step Solution
- Step 1: Write the proportion equation
49,825 : 74,028 = 74,028 : x - Step 2: Convert to fraction form
49,825/74,028 = 74,028/x - Step 3: Cross multiply
49,825x = 74,028 × 74,028 - Step 4: Simplify right side
49,825x = 5,480,144,784 - Step 5: Solve for x
x = 5,480,144,784/49,825 - Step 6: Final answer
x = 109,987.85
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.