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Finding the Third Proportional to 39,041 and 82,945

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Solution

The third proportional to 39,041 and 82,945 is: 176,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,041 : 82,945 = 82,945 : x
  2. Step 2: Convert to fraction form
    39,041/82,945 = 82,945/x
  3. Step 3: Cross multiply
    39,041x = 82,945 × 82,945
  4. Step 4: Simplify right side
    39,041x = 6,879,873,025
  5. Step 5: Solve for x
    x = 6,879,873,025/39,041
  6. Step 6: Final answer
    x = 176,221.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.