Finding the Third Proportional to 42,102 and 60,825
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Solution
The third proportional to 42,102 and 60,825 is: 87,874.23
Step by Step Solution
- Step 1: Write the proportion equation
42,102 : 60,825 = 60,825 : x - Step 2: Convert to fraction form
42,102/60,825 = 60,825/x - Step 3: Cross multiply
42,102x = 60,825 × 60,825 - Step 4: Simplify right side
42,102x = 3,699,680,625 - Step 5: Solve for x
x = 3,699,680,625/42,102 - Step 6: Final answer
x = 87,874.23
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.