Finding the Third Proportional to 13,675 and 17,956
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Solution
The third proportional to 13,675 and 17,956 is: 23,577.18
Step by Step Solution
- Step 1: Write the proportion equation
13,675 : 17,956 = 17,956 : x - Step 2: Convert to fraction form
13,675/17,956 = 17,956/x - Step 3: Cross multiply
13,675x = 17,956 × 17,956 - Step 4: Simplify right side
13,675x = 322,417,936 - Step 5: Solve for x
x = 322,417,936/13,675 - Step 6: Final answer
x = 23,577.18
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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.