Finding the Third Proportional to 45,782 and 70,852
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Solution
The third proportional to 45,782 and 70,852 is: 109,650.21
Step by Step Solution
- Step 1: Write the proportion equation
45,782 : 70,852 = 70,852 : x - Step 2: Convert to fraction form
45,782/70,852 = 70,852/x - Step 3: Cross multiply
45,782x = 70,852 × 70,852 - Step 4: Simplify right side
45,782x = 5,020,005,904 - Step 5: Solve for x
x = 5,020,005,904/45,782 - Step 6: Final answer
x = 109,650.21
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.