Finding the Third Proportional to 981 and 2,123
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Solution
The third proportional to 981 and 2,123 is: 4,594.42
Step by Step Solution
- Step 1: Write the proportion equation
981 : 2,123 = 2,123 : x - Step 2: Convert to fraction form
981/2,123 = 2,123/x - Step 3: Cross multiply
981x = 2,123 × 2,123 - Step 4: Simplify right side
981x = 4,507,129 - Step 5: Solve for x
x = 4,507,129/981 - Step 6: Final answer
x = 4,594.42
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.