Finding the Third Proportional to 22,322 and 33,772
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Solution
The third proportional to 22,322 and 33,772 is: 51,095.24
Step by Step Solution
- Step 1: Write the proportion equation
22,322 : 33,772 = 33,772 : x - Step 2: Convert to fraction form
22,322/33,772 = 33,772/x - Step 3: Cross multiply
22,322x = 33,772 × 33,772 - Step 4: Simplify right side
22,322x = 1,140,547,984 - Step 5: Solve for x
x = 1,140,547,984/22,322 - Step 6: Final answer
x = 51,095.24
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.