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Finding the Third Proportional to 26,812 and 37,686

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Solution

The third proportional to 26,812 and 37,686 is: 52,970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,812 : 37,686 = 37,686 : x
  2. Step 2: Convert to fraction form
    26,812/37,686 = 37,686/x
  3. Step 3: Cross multiply
    26,812x = 37,686 × 37,686
  4. Step 4: Simplify right side
    26,812x = 1,420,234,596
  5. Step 5: Solve for x
    x = 1,420,234,596/26,812
  6. Step 6: Final answer
    x = 52,970.11

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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.