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Finding the Third Proportional to 26,414 and 42,474

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Solution

The third proportional to 26,414 and 42,474 is: 68,298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,414 : 42,474 = 42,474 : x
  2. Step 2: Convert to fraction form
    26,414/42,474 = 42,474/x
  3. Step 3: Cross multiply
    26,414x = 42,474 × 42,474
  4. Step 4: Simplify right side
    26,414x = 1,804,040,676
  5. Step 5: Solve for x
    x = 1,804,040,676/26,414
  6. Step 6: Final answer
    x = 68,298.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.