Finding the Third Proportional to 974 and 1,438
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Solution
The third proportional to 974 and 1,438 is: 2,123.04
Step by Step Solution
- Step 1: Write the proportion equation
974 : 1,438 = 1,438 : x - Step 2: Convert to fraction form
974/1,438 = 1,438/x - Step 3: Cross multiply
974x = 1,438 × 1,438 - Step 4: Simplify right side
974x = 2,067,844 - Step 5: Solve for x
x = 2,067,844/974 - Step 6: Final answer
x = 2,123.04
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Why These Related Problems?
These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.