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Finding the Third Proportional to 26,546 and 38,372

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Solution

The third proportional to 26,546 and 38,372 is: 55,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,546 : 38,372 = 38,372 : x
  2. Step 2: Convert to fraction form
    26,546/38,372 = 38,372/x
  3. Step 3: Cross multiply
    26,546x = 38,372 × 38,372
  4. Step 4: Simplify right side
    26,546x = 1,472,410,384
  5. Step 5: Solve for x
    x = 1,472,410,384/26,546
  6. Step 6: Final answer
    x = 55,466.37

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.