Finding the Third Proportional to 32,856 and 50,970
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Solution
The third proportional to 32,856 and 50,970 is: 79,070.52
Step by Step Solution
- Step 1: Write the proportion equation
32,856 : 50,970 = 50,970 : x - Step 2: Convert to fraction form
32,856/50,970 = 50,970/x - Step 3: Cross multiply
32,856x = 50,970 × 50,970 - Step 4: Simplify right side
32,856x = 2,597,940,900 - Step 5: Solve for x
x = 2,597,940,900/32,856 - Step 6: Final answer
x = 79,070.52
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.