Finding the Third Proportional to 1,154.25 and 2,463.75
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Solution
The third proportional to 1,154.25 and 2,463.75 is: 5,258.88
Step by Step Solution
- Step 1: Write the proportion equation
1,154.25 : 2,463.75 = 2,463.75 : x - Step 2: Convert to fraction form
1,154.25/2,463.75 = 2,463.75/x - Step 3: Cross multiply
1,154.25x = 2,463.75 × 2,463.75 - Step 4: Simplify right side
1,154.25x = 6,070,064.06 - Step 5: Solve for x
x = 6,070,064.06/1,154.25 - Step 6: Final answer
x = 5,258.88
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.