Finding the Third Proportional to 42,756 and 67,170
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Solution
The third proportional to 42,756 and 67,170 is: 105,524.58
Step by Step Solution
- Step 1: Write the proportion equation
42,756 : 67,170 = 67,170 : x - Step 2: Convert to fraction form
42,756/67,170 = 67,170/x - Step 3: Cross multiply
42,756x = 67,170 × 67,170 - Step 4: Simplify right side
42,756x = 4,511,808,900 - Step 5: Solve for x
x = 4,511,808,900/42,756 - Step 6: Final answer
x = 105,524.58
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.