Finding the Third Proportional to 14,320 and 22,784
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Solution
The third proportional to 14,320 and 22,784 is: 36,250.74
Step by Step Solution
- Step 1: Write the proportion equation
14,320 : 22,784 = 22,784 : x - Step 2: Convert to fraction form
14,320/22,784 = 22,784/x - Step 3: Cross multiply
14,320x = 22,784 × 22,784 - Step 4: Simplify right side
14,320x = 519,110,656 - Step 5: Solve for x
x = 519,110,656/14,320 - Step 6: Final answer
x = 36,250.74
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.