Finding the Third Proportional to 38,874.75 and 80,202.75
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Solution
The third proportional to 38,874.75 and 80,202.75 is: 165,466.82
Step by Step Solution
- Step 1: Write the proportion equation
38,874.75 : 80,202.75 = 80,202.75 : x - Step 2: Convert to fraction form
38,874.75/80,202.75 = 80,202.75/x - Step 3: Cross multiply
38,874.75x = 80,202.75 × 80,202.75 - Step 4: Simplify right side
38,874.75x = 6,432,481,107.56 - Step 5: Solve for x
x = 6,432,481,107.56/38,874.75 - Step 6: Final answer
x = 165,466.82
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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.