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Finding the Third Proportional to 20,512 and 23,392

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Solution

The third proportional to 20,512 and 23,392 is: 26,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512 : 23,392 = 23,392 : x
  2. Step 2: Convert to fraction form
    20,512/23,392 = 23,392/x
  3. Step 3: Cross multiply
    20,512x = 23,392 × 23,392
  4. Step 4: Simplify right side
    20,512x = 547,185,664
  5. Step 5: Solve for x
    x = 547,185,664/20,512
  6. Step 6: Final answer
    x = 26,676.37

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.