Finding the Third Proportional to 12,582 and 19,989
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Solution
The third proportional to 12,582 and 19,989 is: 31,756.49
Step by Step Solution
- Step 1: Write the proportion equation
12,582 : 19,989 = 19,989 : x - Step 2: Convert to fraction form
12,582/19,989 = 19,989/x - Step 3: Cross multiply
12,582x = 19,989 × 19,989 - Step 4: Simplify right side
12,582x = 399,560,121 - Step 5: Solve for x
x = 399,560,121/12,582 - Step 6: Final answer
x = 31,756.49
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.