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Finding the Third Proportional to 21,224 and 30,256

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Solution

The third proportional to 21,224 and 30,256 is: 43,131.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,224 : 30,256 = 30,256 : x
  2. Step 2: Convert to fraction form
    21,224/30,256 = 30,256/x
  3. Step 3: Cross multiply
    21,224x = 30,256 × 30,256
  4. Step 4: Simplify right side
    21,224x = 915,425,536
  5. Step 5: Solve for x
    x = 915,425,536/21,224
  6. Step 6: Final answer
    x = 43,131.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.