Finding the Third Proportional to 49,327.50 and 69,798
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Solution
The third proportional to 49,327.50 and 69,798 is: 98,763.59
Step by Step Solution
- Step 1: Write the proportion equation
49,327.50 : 69,798 = 69,798 : x - Step 2: Convert to fraction form
49,327.50/69,798 = 69,798/x - Step 3: Cross multiply
49,327.50x = 69,798 × 69,798 - Step 4: Simplify right side
49,327.50x = 4,871,760,804 - Step 5: Solve for x
x = 4,871,760,804/49,327.50 - Step 6: Final answer
x = 98,763.59
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Why These Related Problems?
These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.