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Finding the Third Proportional to 39,267 and 81,846

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Solution

The third proportional to 39,267 and 81,846 is: 170,595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,267 : 81,846 = 81,846 : x
  2. Step 2: Convert to fraction form
    39,267/81,846 = 81,846/x
  3. Step 3: Cross multiply
    39,267x = 81,846 × 81,846
  4. Step 4: Simplify right side
    39,267x = 6,698,767,716
  5. Step 5: Solve for x
    x = 6,698,767,716/39,267
  6. Step 6: Final answer
    x = 170,595.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.