Finding the Third Proportional to 7,012 and 10,272
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Solution
The third proportional to 7,012 and 10,272 is: 15,047.63
Step by Step Solution
- Step 1: Write the proportion equation
7,012 : 10,272 = 10,272 : x - Step 2: Convert to fraction form
7,012/10,272 = 10,272/x - Step 3: Cross multiply
7,012x = 10,272 × 10,272 - Step 4: Simplify right side
7,012x = 105,513,984 - Step 5: Solve for x
x = 105,513,984/7,012 - Step 6: Final answer
x = 15,047.63
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.