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Finding the Third Proportional to 26,867 and 37,768

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Solution

The third proportional to 26,867 and 37,768 is: 53,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,867 : 37,768 = 37,768 : x
  2. Step 2: Convert to fraction form
    26,867/37,768 = 37,768/x
  3. Step 3: Cross multiply
    26,867x = 37,768 × 37,768
  4. Step 4: Simplify right side
    26,867x = 1,426,421,824
  5. Step 5: Solve for x
    x = 1,426,421,824/26,867
  6. Step 6: Final answer
    x = 53,091.97

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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.