Finding the Third Proportional to 39,810 and 51,664
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Solution
The third proportional to 39,810 and 51,664 is: 67,047.70
Step by Step Solution
- Step 1: Write the proportion equation
39,810 : 51,664 = 51,664 : x - Step 2: Convert to fraction form
39,810/51,664 = 51,664/x - Step 3: Cross multiply
39,810x = 51,664 × 51,664 - Step 4: Simplify right side
39,810x = 2,669,168,896 - Step 5: Solve for x
x = 2,669,168,896/39,810 - Step 6: Final answer
x = 67,047.70
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Why These Related Problems?
These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.