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Finding the Third Proportional to 26,914 and 40,380

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Solution

The third proportional to 26,914 and 40,380 is: 60,583.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,914 : 40,380 = 40,380 : x
  2. Step 2: Convert to fraction form
    26,914/40,380 = 40,380/x
  3. Step 3: Cross multiply
    26,914x = 40,380 × 40,380
  4. Step 4: Simplify right side
    26,914x = 1,630,544,400
  5. Step 5: Solve for x
    x = 1,630,544,400/26,914
  6. Step 6: Final answer
    x = 60,583.50

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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.