Finding the Third Proportional to 10,426 and 14,046
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Solution
The third proportional to 10,426 and 14,046 is: 18,922.90
Step by Step Solution
- Step 1: Write the proportion equation
10,426 : 14,046 = 14,046 : x - Step 2: Convert to fraction form
10,426/14,046 = 14,046/x - Step 3: Cross multiply
10,426x = 14,046 × 14,046 - Step 4: Simplify right side
10,426x = 197,290,116 - Step 5: Solve for x
x = 197,290,116/10,426 - Step 6: Final answer
x = 18,922.90
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.