Finding the Third Proportional to 38,022.75 and 78,351.75
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Solution
The third proportional to 38,022.75 and 78,351.75 is: 161,455.88
Step by Step Solution
- Step 1: Write the proportion equation
38,022.75 : 78,351.75 = 78,351.75 : x - Step 2: Convert to fraction form
38,022.75/78,351.75 = 78,351.75/x - Step 3: Cross multiply
38,022.75x = 78,351.75 × 78,351.75 - Step 4: Simplify right side
38,022.75x = 6,138,996,728.06 - Step 5: Solve for x
x = 6,138,996,728.06/38,022.75 - Step 6: Final answer
x = 161,455.88
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.