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Finding the Third Proportional to 26,786 and 40,099

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Solution

The third proportional to 26,786 and 40,099 is: 60,028.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,786 : 40,099 = 40,099 : x
  2. Step 2: Convert to fraction form
    26,786/40,099 = 40,099/x
  3. Step 3: Cross multiply
    26,786x = 40,099 × 40,099
  4. Step 4: Simplify right side
    26,786x = 1,607,929,801
  5. Step 5: Solve for x
    x = 1,607,929,801/26,786
  6. Step 6: Final answer
    x = 60,028.74

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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.