Finding the Third Proportional to 9,740 and 12,938
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Solution
The third proportional to 9,740 and 12,938 is: 17,186.02
Step by Step Solution
- Step 1: Write the proportion equation
9,740 : 12,938 = 12,938 : x - Step 2: Convert to fraction form
9,740/12,938 = 12,938/x - Step 3: Cross multiply
9,740x = 12,938 × 12,938 - Step 4: Simplify right side
9,740x = 167,391,844 - Step 5: Solve for x
x = 167,391,844/9,740 - Step 6: Final answer
x = 17,186.02
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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.