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Finding the Third Proportional to 27,626 and 42,393

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Solution

The third proportional to 27,626 and 42,393 is: 65,053.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,626 : 42,393 = 42,393 : x
  2. Step 2: Convert to fraction form
    27,626/42,393 = 42,393/x
  3. Step 3: Cross multiply
    27,626x = 42,393 × 42,393
  4. Step 4: Simplify right side
    27,626x = 1,797,166,449
  5. Step 5: Solve for x
    x = 1,797,166,449/27,626
  6. Step 6: Final answer
    x = 65,053.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.