Finding the Third Proportional to 7,300 and 9,706
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Solution
The third proportional to 7,300 and 9,706 is: 12,904.99
Step by Step Solution
- Step 1: Write the proportion equation
7,300 : 9,706 = 9,706 : x - Step 2: Convert to fraction form
7,300/9,706 = 9,706/x - Step 3: Cross multiply
7,300x = 9,706 × 9,706 - Step 4: Simplify right side
7,300x = 94,206,436 - Step 5: Solve for x
x = 94,206,436/7,300 - Step 6: Final answer
x = 12,904.99
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.