Finding the Third Proportional to 22,051.50 and 52,011
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Solution
The third proportional to 22,051.50 and 52,011 is: 122,673.93
Step by Step Solution
- Step 1: Write the proportion equation
22,051.50 : 52,011 = 52,011 : x - Step 2: Convert to fraction form
22,051.50/52,011 = 52,011/x - Step 3: Cross multiply
22,051.50x = 52,011 × 52,011 - Step 4: Simplify right side
22,051.50x = 2,705,144,121 - Step 5: Solve for x
x = 2,705,144,121/22,051.50 - Step 6: Final answer
x = 122,673.93
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.