Finding the Third Proportional to 23,706 and 31,809
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Solution
The third proportional to 23,706 and 31,809 is: 42,681.70
Step by Step Solution
- Step 1: Write the proportion equation
23,706 : 31,809 = 31,809 : x - Step 2: Convert to fraction form
23,706/31,809 = 31,809/x - Step 3: Cross multiply
23,706x = 31,809 × 31,809 - Step 4: Simplify right side
23,706x = 1,011,812,481 - Step 5: Solve for x
x = 1,011,812,481/23,706 - Step 6: Final answer
x = 42,681.70
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.