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Finding the Third Proportional to 26,600 and 40,474

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Solution

The third proportional to 26,600 and 40,474 is: 61,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,600 : 40,474 = 40,474 : x
  2. Step 2: Convert to fraction form
    26,600/40,474 = 40,474/x
  3. Step 3: Cross multiply
    26,600x = 40,474 × 40,474
  4. Step 4: Simplify right side
    26,600x = 1,638,144,676
  5. Step 5: Solve for x
    x = 1,638,144,676/26,600
  6. Step 6: Final answer
    x = 61,584.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.