Finding the Third Proportional to 21,870 and 29,376
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Solution
The third proportional to 21,870 and 29,376 is: 39,458.13
Step by Step Solution
- Step 1: Write the proportion equation
21,870 : 29,376 = 29,376 : x - Step 2: Convert to fraction form
21,870/29,376 = 29,376/x - Step 3: Cross multiply
21,870x = 29,376 × 29,376 - Step 4: Simplify right side
21,870x = 862,949,376 - Step 5: Solve for x
x = 862,949,376/21,870 - Step 6: Final answer
x = 39,458.13
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.