Finding the Third Proportional to 22,972 and 33,784
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Solution
The third proportional to 22,972 and 33,784 is: 49,684.78
Step by Step Solution
- Step 1: Write the proportion equation
22,972 : 33,784 = 33,784 : x - Step 2: Convert to fraction form
22,972/33,784 = 33,784/x - Step 3: Cross multiply
22,972x = 33,784 × 33,784 - Step 4: Simplify right side
22,972x = 1,141,358,656 - Step 5: Solve for x
x = 1,141,358,656/22,972 - Step 6: Final answer
x = 49,684.78
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.