Finding the Third Proportional to 12,250 and 16,419
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Solution
The third proportional to 12,250 and 16,419 is: 22,006.82
Step by Step Solution
- Step 1: Write the proportion equation
12,250 : 16,419 = 16,419 : x - Step 2: Convert to fraction form
12,250/16,419 = 16,419/x - Step 3: Cross multiply
12,250x = 16,419 × 16,419 - Step 4: Simplify right side
12,250x = 269,583,561 - Step 5: Solve for x
x = 269,583,561/12,250 - Step 6: Final answer
x = 22,006.82
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.