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Finding the Third Proportional to 26,644 and 38,380

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Solution

The third proportional to 26,644 and 38,380 is: 55,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,644 : 38,380 = 38,380 : x
  2. Step 2: Convert to fraction form
    26,644/38,380 = 38,380/x
  3. Step 3: Cross multiply
    26,644x = 38,380 × 38,380
  4. Step 4: Simplify right side
    26,644x = 1,473,024,400
  5. Step 5: Solve for x
    x = 1,473,024,400/26,644
  6. Step 6: Final answer
    x = 55,285.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.