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Finding the Third Proportional to 39,846 and 86,714

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Solution

The third proportional to 39,846 and 86,714 is: 188,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,846 : 86,714 = 86,714 : x
  2. Step 2: Convert to fraction form
    39,846/86,714 = 86,714/x
  3. Step 3: Cross multiply
    39,846x = 86,714 × 86,714
  4. Step 4: Simplify right side
    39,846x = 7,519,317,796
  5. Step 5: Solve for x
    x = 7,519,317,796/39,846
  6. Step 6: Final answer
    x = 188,709.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.