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Finding the Third Proportional to 26,682 and 42,981

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Solution

The third proportional to 26,682 and 42,981 is: 69,236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,682 : 42,981 = 42,981 : x
  2. Step 2: Convert to fraction form
    26,682/42,981 = 42,981/x
  3. Step 3: Cross multiply
    26,682x = 42,981 × 42,981
  4. Step 4: Simplify right side
    26,682x = 1,847,366,361
  5. Step 5: Solve for x
    x = 1,847,366,361/26,682
  6. Step 6: Final answer
    x = 69,236.43

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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.