Finding the Third Proportional to 12,140 and 14,300
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Solution
The third proportional to 12,140 and 14,300 is: 16,844.32
Step by Step Solution
- Step 1: Write the proportion equation
12,140 : 14,300 = 14,300 : x - Step 2: Convert to fraction form
12,140/14,300 = 14,300/x - Step 3: Cross multiply
12,140x = 14,300 × 14,300 - Step 4: Simplify right side
12,140x = 204,490,000 - Step 5: Solve for x
x = 204,490,000/12,140 - Step 6: Final answer
x = 16,844.32
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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.