Finding the Third Proportional to 49,735.75 and 101,769.75
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Solution
The third proportional to 49,735.75 and 101,769.75 is: 208,242.20
Step by Step Solution
- Step 1: Write the proportion equation
49,735.75 : 101,769.75 = 101,769.75 : x - Step 2: Convert to fraction form
49,735.75/101,769.75 = 101,769.75/x - Step 3: Cross multiply
49,735.75x = 101,769.75 × 101,769.75 - Step 4: Simplify right side
49,735.75x = 10,357,082,015.06 - Step 5: Solve for x
x = 10,357,082,015.06/49,735.75 - Step 6: Final answer
x = 208,242.20
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.