Finding the Third Proportional to 20,478 and 29,601
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Solution
The third proportional to 20,478 and 29,601 is: 42,788.32
Step by Step Solution
- Step 1: Write the proportion equation
20,478 : 29,601 = 29,601 : x - Step 2: Convert to fraction form
20,478/29,601 = 29,601/x - Step 3: Cross multiply
20,478x = 29,601 × 29,601 - Step 4: Simplify right side
20,478x = 876,219,201 - Step 5: Solve for x
x = 876,219,201/20,478 - Step 6: Final answer
x = 42,788.32
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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.