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Finding the Third Proportional to 26,974 and 41,880

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Solution

The third proportional to 26,974 and 41,880 is: 65,023.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,974 : 41,880 = 41,880 : x
  2. Step 2: Convert to fraction form
    26,974/41,880 = 41,880/x
  3. Step 3: Cross multiply
    26,974x = 41,880 × 41,880
  4. Step 4: Simplify right side
    26,974x = 1,753,934,400
  5. Step 5: Solve for x
    x = 1,753,934,400/26,974
  6. Step 6: Final answer
    x = 65,023.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.