Finding the Third Proportional to 23,476 and 31,973
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Solution
The third proportional to 23,476 and 31,973 is: 43,545.44
Step by Step Solution
- Step 1: Write the proportion equation
23,476 : 31,973 = 31,973 : x - Step 2: Convert to fraction form
23,476/31,973 = 31,973/x - Step 3: Cross multiply
23,476x = 31,973 × 31,973 - Step 4: Simplify right side
23,476x = 1,022,272,729 - Step 5: Solve for x
x = 1,022,272,729/23,476 - Step 6: Final answer
x = 43,545.44
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Why These Related Problems?
These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.