Finding the Third Proportional to 989 and 1,447
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Solution
The third proportional to 989 and 1,447 is: 2,117.10
Step by Step Solution
- Step 1: Write the proportion equation
989 : 1,447 = 1,447 : x - Step 2: Convert to fraction form
989/1,447 = 1,447/x - Step 3: Cross multiply
989x = 1,447 × 1,447 - Step 4: Simplify right side
989x = 2,093,809 - Step 5: Solve for x
x = 2,093,809/989 - Step 6: Final answer
x = 2,117.10
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.