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Finding the Third Proportional to 26,831 and 42,548

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Solution

The third proportional to 26,831 and 42,548 is: 67,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,831 : 42,548 = 42,548 : x
  2. Step 2: Convert to fraction form
    26,831/42,548 = 42,548/x
  3. Step 3: Cross multiply
    26,831x = 42,548 × 42,548
  4. Step 4: Simplify right side
    26,831x = 1,810,332,304
  5. Step 5: Solve for x
    x = 1,810,332,304/26,831
  6. Step 6: Final answer
    x = 67,471.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.