Finding the Third Proportional to 30,258 and 65,682
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Solution
The third proportional to 30,258 and 65,682 is: 142,578
Step by Step Solution
- Step 1: Write the proportion equation
30,258 : 65,682 = 65,682 : x - Step 2: Convert to fraction form
30,258/65,682 = 65,682/x - Step 3: Cross multiply
30,258x = 65,682 × 65,682 - Step 4: Simplify right side
30,258x = 4,314,125,124 - Step 5: Solve for x
x = 4,314,125,124/30,258 - Step 6: Final answer
x = 142,578
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.