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Finding the Third Proportional to 34,940 and 49,393

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Solution

The third proportional to 34,940 and 49,393 is: 69,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,940 : 49,393 = 49,393 : x
  2. Step 2: Convert to fraction form
    34,940/49,393 = 49,393/x
  3. Step 3: Cross multiply
    34,940x = 49,393 × 49,393
  4. Step 4: Simplify right side
    34,940x = 2,439,668,449
  5. Step 5: Solve for x
    x = 2,439,668,449/34,940
  6. Step 6: Final answer
    x = 69,824.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.