Finding the Third Proportional to 6,280 and 13,538
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Solution
The third proportional to 6,280 and 13,538 is: 29,184.31
Step by Step Solution
- Step 1: Write the proportion equation
6,280 : 13,538 = 13,538 : x - Step 2: Convert to fraction form
6,280/13,538 = 13,538/x - Step 3: Cross multiply
6,280x = 13,538 × 13,538 - Step 4: Simplify right side
6,280x = 183,277,444 - Step 5: Solve for x
x = 183,277,444/6,280 - Step 6: Final answer
x = 29,184.31
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.