Finding the Third Proportional to 9,841.50 and 23,706
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Solution
The third proportional to 9,841.50 and 23,706 is: 57,102.52
Step by Step Solution
- Step 1: Write the proportion equation
9,841.50 : 23,706 = 23,706 : x - Step 2: Convert to fraction form
9,841.50/23,706 = 23,706/x - Step 3: Cross multiply
9,841.50x = 23,706 × 23,706 - Step 4: Simplify right side
9,841.50x = 561,974,436 - Step 5: Solve for x
x = 561,974,436/9,841.50 - Step 6: Final answer
x = 57,102.52
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Why These Related Problems?
These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.