Finding the Third Proportional to 10,394 and 22,798
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Solution
The third proportional to 10,394 and 22,798 is: 50,004.70
Step by Step Solution
- Step 1: Write the proportion equation
10,394 : 22,798 = 22,798 : x - Step 2: Convert to fraction form
10,394/22,798 = 22,798/x - Step 3: Cross multiply
10,394x = 22,798 × 22,798 - Step 4: Simplify right side
10,394x = 519,748,804 - Step 5: Solve for x
x = 519,748,804/10,394 - Step 6: Final answer
x = 50,004.70
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.