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Finding the Third Proportional to 26,751 and 42,396

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Solution

The third proportional to 26,751 and 42,396 is: 67,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,751 : 42,396 = 42,396 : x
  2. Step 2: Convert to fraction form
    26,751/42,396 = 42,396/x
  3. Step 3: Cross multiply
    26,751x = 42,396 × 42,396
  4. Step 4: Simplify right side
    26,751x = 1,797,420,816
  5. Step 5: Solve for x
    x = 1,797,420,816/26,751
  6. Step 6: Final answer
    x = 67,190.79

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.