Finding the Third Proportional to 6,294 and 13,830
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Solution
The third proportional to 6,294 and 13,830 is: 30,389.08
Step by Step Solution
- Step 1: Write the proportion equation
6,294 : 13,830 = 13,830 : x - Step 2: Convert to fraction form
6,294/13,830 = 13,830/x - Step 3: Cross multiply
6,294x = 13,830 × 13,830 - Step 4: Simplify right side
6,294x = 191,268,900 - Step 5: Solve for x
x = 191,268,900/6,294 - Step 6: Final answer
x = 30,389.08
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.