Finding the Third Proportional to 976 and 2,104
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Solution
The third proportional to 976 and 2,104 is: 4,535.67
Step by Step Solution
- Step 1: Write the proportion equation
976 : 2,104 = 2,104 : x - Step 2: Convert to fraction form
976/2,104 = 2,104/x - Step 3: Cross multiply
976x = 2,104 × 2,104 - Step 4: Simplify right side
976x = 4,426,816 - Step 5: Solve for x
x = 4,426,816/976 - Step 6: Final answer
x = 4,535.67
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.