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Finding the Third Proportional to 26,861 and 37,759

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Solution

The third proportional to 26,861 and 37,759 is: 53,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,861 : 37,759 = 37,759 : x
  2. Step 2: Convert to fraction form
    26,861/37,759 = 37,759/x
  3. Step 3: Cross multiply
    26,861x = 37,759 × 37,759
  4. Step 4: Simplify right side
    26,861x = 1,425,742,081
  5. Step 5: Solve for x
    x = 1,425,742,081/26,861
  6. Step 6: Final answer
    x = 53,078.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.