Finding the Third Proportional to 10,623 and 22,461
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Solution
The third proportional to 10,623 and 22,461 is: 47,490.96
Step by Step Solution
- Step 1: Write the proportion equation
10,623 : 22,461 = 22,461 : x - Step 2: Convert to fraction form
10,623/22,461 = 22,461/x - Step 3: Cross multiply
10,623x = 22,461 × 22,461 - Step 4: Simplify right side
10,623x = 504,496,521 - Step 5: Solve for x
x = 504,496,521/10,623 - Step 6: Final answer
x = 47,490.96
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.