Finding the Third Proportional to 902 and 983
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Solution
The third proportional to 902 and 983 is: 1,071.27
Step by Step Solution
- Step 1: Write the proportion equation
902 : 983 = 983 : x - Step 2: Convert to fraction form
902/983 = 983/x - Step 3: Cross multiply
902x = 983 × 983 - Step 4: Simplify right side
902x = 966,289 - Step 5: Solve for x
x = 966,289/902 - Step 6: Final answer
x = 1,071.27
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Why These Related Problems?
These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.