Finding the Third Proportional to 1,375 and 2,942
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Solution
The third proportional to 1,375 and 2,942 is: 6,294.81
Step by Step Solution
- Step 1: Write the proportion equation
1,375 : 2,942 = 2,942 : x - Step 2: Convert to fraction form
1,375/2,942 = 2,942/x - Step 3: Cross multiply
1,375x = 2,942 × 2,942 - Step 4: Simplify right side
1,375x = 8,655,364 - Step 5: Solve for x
x = 8,655,364/1,375 - Step 6: Final answer
x = 6,294.81
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.