Finding the Third Proportional to 19,784 and 30,405
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Solution
The third proportional to 19,784 and 30,405 is: 46,727.86
Step by Step Solution
- Step 1: Write the proportion equation
19,784 : 30,405 = 30,405 : x - Step 2: Convert to fraction form
19,784/30,405 = 30,405/x - Step 3: Cross multiply
19,784x = 30,405 × 30,405 - Step 4: Simplify right side
19,784x = 924,464,025 - Step 5: Solve for x
x = 924,464,025/19,784 - Step 6: Final answer
x = 46,727.86
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.