Finding the Third Proportional to 21,018 and 23,970
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Solution
The third proportional to 21,018 and 23,970 is: 27,336.61
Step by Step Solution
- Step 1: Write the proportion equation
21,018 : 23,970 = 23,970 : x - Step 2: Convert to fraction form
21,018/23,970 = 23,970/x - Step 3: Cross multiply
21,018x = 23,970 × 23,970 - Step 4: Simplify right side
21,018x = 574,560,900 - Step 5: Solve for x
x = 574,560,900/21,018 - Step 6: Final answer
x = 27,336.61
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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.