Finding the Third Proportional to 1,258 and 2,758
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Solution
The third proportional to 1,258 and 2,758 is: 6,046.55
Step by Step Solution
- Step 1: Write the proportion equation
1,258 : 2,758 = 2,758 : x - Step 2: Convert to fraction form
1,258/2,758 = 2,758/x - Step 3: Cross multiply
1,258x = 2,758 × 2,758 - Step 4: Simplify right side
1,258x = 7,606,564 - Step 5: Solve for x
x = 7,606,564/1,258 - Step 6: Final answer
x = 6,046.55
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.