Finding the Third Proportional to 32,948 and 70,072
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Solution
The third proportional to 32,948 and 70,072 is: 149,025.29
Step by Step Solution
- Step 1: Write the proportion equation
32,948 : 70,072 = 70,072 : x - Step 2: Convert to fraction form
32,948/70,072 = 70,072/x - Step 3: Cross multiply
32,948x = 70,072 × 70,072 - Step 4: Simplify right side
32,948x = 4,910,085,184 - Step 5: Solve for x
x = 4,910,085,184/32,948 - Step 6: Final answer
x = 149,025.29
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.