Finding the Third Proportional to 12,141 and 18,297
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Solution
The third proportional to 12,141 and 18,297 is: 27,574.35
Step by Step Solution
- Step 1: Write the proportion equation
12,141 : 18,297 = 18,297 : x - Step 2: Convert to fraction form
12,141/18,297 = 18,297/x - Step 3: Cross multiply
12,141x = 18,297 × 18,297 - Step 4: Simplify right side
12,141x = 334,780,209 - Step 5: Solve for x
x = 334,780,209/12,141 - Step 6: Final answer
x = 27,574.35
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.