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Finding the Third Proportional to 26,086 and 39,029

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Solution

The third proportional to 26,086 and 39,029 is: 58,393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,086 : 39,029 = 39,029 : x
  2. Step 2: Convert to fraction form
    26,086/39,029 = 39,029/x
  3. Step 3: Cross multiply
    26,086x = 39,029 × 39,029
  4. Step 4: Simplify right side
    26,086x = 1,523,262,841
  5. Step 5: Solve for x
    x = 1,523,262,841/26,086
  6. Step 6: Final answer
    x = 58,393.88

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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.