Finding the Third Proportional to 43,428 and 65,142
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Solution
The third proportional to 43,428 and 65,142 is: 97,713
Step by Step Solution
- Step 1: Write the proportion equation
43,428 : 65,142 = 65,142 : x - Step 2: Convert to fraction form
43,428/65,142 = 65,142/x - Step 3: Cross multiply
43,428x = 65,142 × 65,142 - Step 4: Simplify right side
43,428x = 4,243,480,164 - Step 5: Solve for x
x = 4,243,480,164/43,428 - Step 6: Final answer
x = 97,713
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.