Finding the Third Proportional to 7,252 and 9,706
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Solution
The third proportional to 7,252 and 9,706 is: 12,990.41
Step by Step Solution
- Step 1: Write the proportion equation
7,252 : 9,706 = 9,706 : x - Step 2: Convert to fraction form
7,252/9,706 = 9,706/x - Step 3: Cross multiply
7,252x = 9,706 × 9,706 - Step 4: Simplify right side
7,252x = 94,206,436 - Step 5: Solve for x
x = 94,206,436/7,252 - Step 6: Final answer
x = 12,990.41
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.