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Finding the Third Proportional to 39,740 and 55,694

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Solution

The third proportional to 39,740 and 55,694 is: 78,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,740 : 55,694 = 55,694 : x
  2. Step 2: Convert to fraction form
    39,740/55,694 = 55,694/x
  3. Step 3: Cross multiply
    39,740x = 55,694 × 55,694
  4. Step 4: Simplify right side
    39,740x = 3,101,821,636
  5. Step 5: Solve for x
    x = 3,101,821,636/39,740
  6. Step 6: Final answer
    x = 78,052.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.