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Finding the Third Proportional to 27,982.97 and 39,350.81

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Solution

The third proportional to 27,982.97 and 39,350.81 is: 55,336.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982.97 : 39,350.81 = 39,350.81 : x
  2. Step 2: Convert to fraction form
    27,982.97/39,350.81 = 39,350.81/x
  3. Step 3: Cross multiply
    27,982.97x = 39,350.81 × 39,350.81
  4. Step 4: Simplify right side
    27,982.97x = 1,548,486,444.41
  5. Step 5: Solve for x
    x = 1,548,486,444.41/27,982.97
  6. Step 6: Final answer
    x = 55,336.75

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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.