Finding the Third Proportional to 16,402 and 19,282
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Solution
The third proportional to 16,402 and 19,282 is: 22,667.69
Step by Step Solution
- Step 1: Write the proportion equation
16,402 : 19,282 = 19,282 : x - Step 2: Convert to fraction form
16,402/19,282 = 19,282/x - Step 3: Cross multiply
16,402x = 19,282 × 19,282 - Step 4: Simplify right side
16,402x = 371,795,524 - Step 5: Solve for x
x = 371,795,524/16,402 - Step 6: Final answer
x = 22,667.69
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Why These Related Problems?
These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.