Finding the Third Proportional to 14,192 and 30,784
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Solution
The third proportional to 14,192 and 30,784 is: 66,773.86
Step by Step Solution
- Step 1: Write the proportion equation
14,192 : 30,784 = 30,784 : x - Step 2: Convert to fraction form
14,192/30,784 = 30,784/x - Step 3: Cross multiply
14,192x = 30,784 × 30,784 - Step 4: Simplify right side
14,192x = 947,654,656 - Step 5: Solve for x
x = 947,654,656/14,192 - Step 6: Final answer
x = 66,773.86
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.