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Finding the Third Proportional to 21,760 and 33,632

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Solution

The third proportional to 21,760 and 33,632 is: 51,981.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,760 : 33,632 = 33,632 : x
  2. Step 2: Convert to fraction form
    21,760/33,632 = 33,632/x
  3. Step 3: Cross multiply
    21,760x = 33,632 × 33,632
  4. Step 4: Simplify right side
    21,760x = 1,131,111,424
  5. Step 5: Solve for x
    x = 1,131,111,424/21,760
  6. Step 6: Final answer
    x = 51,981.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.