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Finding the Third Proportional to 26,254 and 39,601

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Solution

The third proportional to 26,254 and 39,601 is: 59,733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,254 : 39,601 = 39,601 : x
  2. Step 2: Convert to fraction form
    26,254/39,601 = 39,601/x
  3. Step 3: Cross multiply
    26,254x = 39,601 × 39,601
  4. Step 4: Simplify right side
    26,254x = 1,568,239,201
  5. Step 5: Solve for x
    x = 1,568,239,201/26,254
  6. Step 6: Final answer
    x = 59,733.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.