Finding the Third Proportional to 43,784 and 67,924
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Solution
The third proportional to 43,784 and 67,924 is: 105,373.42
Step by Step Solution
- Step 1: Write the proportion equation
43,784 : 67,924 = 67,924 : x - Step 2: Convert to fraction form
43,784/67,924 = 67,924/x - Step 3: Cross multiply
43,784x = 67,924 × 67,924 - Step 4: Simplify right side
43,784x = 4,613,669,776 - Step 5: Solve for x
x = 4,613,669,776/43,784 - Step 6: Final answer
x = 105,373.42
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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.