Finding the Third Proportional to 32,467 and 48,701
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Solution
The third proportional to 32,467 and 48,701 is: 73,052.25
Step by Step Solution
- Step 1: Write the proportion equation
32,467 : 48,701 = 48,701 : x - Step 2: Convert to fraction form
32,467/48,701 = 48,701/x - Step 3: Cross multiply
32,467x = 48,701 × 48,701 - Step 4: Simplify right side
32,467x = 2,371,787,401 - Step 5: Solve for x
x = 2,371,787,401/32,467 - Step 6: Final answer
x = 73,052.25
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.