Finding the Third Proportional to 7,720 and 13,476
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Solution
The third proportional to 7,720 and 13,476 is: 23,523.65
Step by Step Solution
- Step 1: Write the proportion equation
7,720 : 13,476 = 13,476 : x - Step 2: Convert to fraction form
7,720/13,476 = 13,476/x - Step 3: Cross multiply
7,720x = 13,476 × 13,476 - Step 4: Simplify right side
7,720x = 181,602,576 - Step 5: Solve for x
x = 181,602,576/7,720 - Step 6: Final answer
x = 23,523.65
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Why These Related Problems?
These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.