Finding the Third Proportional to 9,692 and 13,154
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Solution
The third proportional to 9,692 and 13,154 is: 17,852.63
Step by Step Solution
- Step 1: Write the proportion equation
9,692 : 13,154 = 13,154 : x - Step 2: Convert to fraction form
9,692/13,154 = 13,154/x - Step 3: Cross multiply
9,692x = 13,154 × 13,154 - Step 4: Simplify right side
9,692x = 173,027,716 - Step 5: Solve for x
x = 173,027,716/9,692 - Step 6: Final answer
x = 17,852.63
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.