Finding the Third Proportional to 16,980 and 23,462
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Solution
The third proportional to 16,980 and 23,462 is: 32,418.46
Step by Step Solution
- Step 1: Write the proportion equation
16,980 : 23,462 = 23,462 : x - Step 2: Convert to fraction form
16,980/23,462 = 23,462/x - Step 3: Cross multiply
16,980x = 23,462 × 23,462 - Step 4: Simplify right side
16,980x = 550,465,444 - Step 5: Solve for x
x = 550,465,444/16,980 - Step 6: Final answer
x = 32,418.46
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.