Finding the Third Proportional to 16,240 and 34,784
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Solution
The third proportional to 16,240 and 34,784 is: 74,502.87
Step by Step Solution
- Step 1: Write the proportion equation
16,240 : 34,784 = 34,784 : x - Step 2: Convert to fraction form
16,240/34,784 = 34,784/x - Step 3: Cross multiply
16,240x = 34,784 × 34,784 - Step 4: Simplify right side
16,240x = 1,209,926,656 - Step 5: Solve for x
x = 1,209,926,656/16,240 - Step 6: Final answer
x = 74,502.87
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.