Finding the Third Proportional to 42,217 and 57,816
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Solution
The third proportional to 42,217 and 57,816 is: 79,178.76
Step by Step Solution
- Step 1: Write the proportion equation
42,217 : 57,816 = 57,816 : x - Step 2: Convert to fraction form
42,217/57,816 = 57,816/x - Step 3: Cross multiply
42,217x = 57,816 × 57,816 - Step 4: Simplify right side
42,217x = 3,342,689,856 - Step 5: Solve for x
x = 3,342,689,856/42,217 - Step 6: Final answer
x = 79,178.76
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.