Finding the Third Proportional to 1,970 and 3,062
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Solution
The third proportional to 1,970 and 3,062 is: 4,759.31
Step by Step Solution
- Step 1: Write the proportion equation
1,970 : 3,062 = 3,062 : x - Step 2: Convert to fraction form
1,970/3,062 = 3,062/x - Step 3: Cross multiply
1,970x = 3,062 × 3,062 - Step 4: Simplify right side
1,970x = 9,375,844 - Step 5: Solve for x
x = 9,375,844/1,970 - Step 6: Final answer
x = 4,759.31
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.