Finding the Third Proportional to 30,763.50 and 67,086
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Solution
The third proportional to 30,763.50 and 67,086 is: 146,294.52
Step by Step Solution
- Step 1: Write the proportion equation
30,763.50 : 67,086 = 67,086 : x - Step 2: Convert to fraction form
30,763.50/67,086 = 67,086/x - Step 3: Cross multiply
30,763.50x = 67,086 × 67,086 - Step 4: Simplify right side
30,763.50x = 4,500,531,396 - Step 5: Solve for x
x = 4,500,531,396/30,763.50 - Step 6: Final answer
x = 146,294.52
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.