Finding the Third Proportional to 15,106 and 32,046
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Solution
The third proportional to 15,106 and 32,046 is: 67,982.66
Step by Step Solution
- Step 1: Write the proportion equation
15,106 : 32,046 = 32,046 : x - Step 2: Convert to fraction form
15,106/32,046 = 32,046/x - Step 3: Cross multiply
15,106x = 32,046 × 32,046 - Step 4: Simplify right side
15,106x = 1,026,946,116 - Step 5: Solve for x
x = 1,026,946,116/15,106 - Step 6: Final answer
x = 67,982.66
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.