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Finding the Third Proportional to 39,039 and 82,941

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Solution

The third proportional to 39,039 and 82,941 is: 176,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,039 : 82,941 = 82,941 : x
  2. Step 2: Convert to fraction form
    39,039/82,941 = 82,941/x
  3. Step 3: Cross multiply
    39,039x = 82,941 × 82,941
  4. Step 4: Simplify right side
    39,039x = 6,879,209,481
  5. Step 5: Solve for x
    x = 6,879,209,481/39,039
  6. Step 6: Final answer
    x = 176,213.77

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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.