Finding the Third Proportional to 13,732 and 17,886
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Solution
The third proportional to 13,732 and 17,886 is: 23,296.61
Step by Step Solution
- Step 1: Write the proportion equation
13,732 : 17,886 = 17,886 : x - Step 2: Convert to fraction form
13,732/17,886 = 17,886/x - Step 3: Cross multiply
13,732x = 17,886 × 17,886 - Step 4: Simplify right side
13,732x = 319,908,996 - Step 5: Solve for x
x = 319,908,996/13,732 - Step 6: Final answer
x = 23,296.61
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.