Finding the Third Proportional to 22,784 and 47,136
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Solution
The third proportional to 22,784 and 47,136 is: 97,515.91
Step by Step Solution
- Step 1: Write the proportion equation
22,784 : 47,136 = 47,136 : x - Step 2: Convert to fraction form
22,784/47,136 = 47,136/x - Step 3: Cross multiply
22,784x = 47,136 × 47,136 - Step 4: Simplify right side
22,784x = 2,221,802,496 - Step 5: Solve for x
x = 2,221,802,496/22,784 - Step 6: Final answer
x = 97,515.91
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.