Finding the Third Proportional to 974 and 1,515
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Solution
The third proportional to 974 and 1,515 is: 2,356.49
Step by Step Solution
- Step 1: Write the proportion equation
974 : 1,515 = 1,515 : x - Step 2: Convert to fraction form
974/1,515 = 1,515/x - Step 3: Cross multiply
974x = 1,515 × 1,515 - Step 4: Simplify right side
974x = 2,295,225 - Step 5: Solve for x
x = 2,295,225/974 - Step 6: Final answer
x = 2,356.49
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.