Finding the Third Proportional to 976 and 2,324
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Solution
The third proportional to 976 and 2,324 is: 5,533.79
Step by Step Solution
- Step 1: Write the proportion equation
976 : 2,324 = 2,324 : x - Step 2: Convert to fraction form
976/2,324 = 2,324/x - Step 3: Cross multiply
976x = 2,324 × 2,324 - Step 4: Simplify right side
976x = 5,400,976 - Step 5: Solve for x
x = 5,400,976/976 - Step 6: Final answer
x = 5,533.79
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These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.