Finding the Third Proportional to 21,143 and 31,471
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Solution
The third proportional to 21,143 and 31,471 is: 46,844.05
Step by Step Solution
- Step 1: Write the proportion equation
21,143 : 31,471 = 31,471 : x - Step 2: Convert to fraction form
21,143/31,471 = 31,471/x - Step 3: Cross multiply
21,143x = 31,471 × 31,471 - Step 4: Simplify right side
21,143x = 990,423,841 - Step 5: Solve for x
x = 990,423,841/21,143 - Step 6: Final answer
x = 46,844.05
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.