Finding the Third Proportional to 7,792 and 10,712
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Solution
The third proportional to 7,792 and 10,712 is: 14,726.25
Step by Step Solution
- Step 1: Write the proportion equation
7,792 : 10,712 = 10,712 : x - Step 2: Convert to fraction form
7,792/10,712 = 10,712/x - Step 3: Cross multiply
7,792x = 10,712 × 10,712 - Step 4: Simplify right side
7,792x = 114,746,944 - Step 5: Solve for x
x = 114,746,944/7,792 - Step 6: Final answer
x = 14,726.25
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.