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Finding the Third Proportional to 16,224 and 23,256

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Solution

The third proportional to 16,224 and 23,256 is: 33,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224 : 23,256 = 23,256 : x
  2. Step 2: Convert to fraction form
    16,224/23,256 = 23,256/x
  3. Step 3: Cross multiply
    16,224x = 23,256 × 23,256
  4. Step 4: Simplify right side
    16,224x = 540,841,536
  5. Step 5: Solve for x
    x = 540,841,536/16,224
  6. Step 6: Final answer
    x = 33,335.89

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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.