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Finding the Third Proportional to 26,138 and 39,266

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Solution

The third proportional to 26,138 and 39,266 is: 58,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,138 : 39,266 = 39,266 : x
  2. Step 2: Convert to fraction form
    26,138/39,266 = 39,266/x
  3. Step 3: Cross multiply
    26,138x = 39,266 × 39,266
  4. Step 4: Simplify right side
    26,138x = 1,541,818,756
  5. Step 5: Solve for x
    x = 1,541,818,756/26,138
  6. Step 6: Final answer
    x = 58,987.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.