Finding the Third Proportional to 7,164 and 10,798
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Solution
The third proportional to 7,164 and 10,798 is: 16,275.38
Step by Step Solution
- Step 1: Write the proportion equation
7,164 : 10,798 = 10,798 : x - Step 2: Convert to fraction form
7,164/10,798 = 10,798/x - Step 3: Cross multiply
7,164x = 10,798 × 10,798 - Step 4: Simplify right side
7,164x = 116,596,804 - Step 5: Solve for x
x = 116,596,804/7,164 - Step 6: Final answer
x = 16,275.38
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.