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Finding the Third Proportional to 20,298 and 41,844

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Solution

The third proportional to 20,298 and 41,844 is: 86,260.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298 : 41,844 = 41,844 : x
  2. Step 2: Convert to fraction form
    20,298/41,844 = 41,844/x
  3. Step 3: Cross multiply
    20,298x = 41,844 × 41,844
  4. Step 4: Simplify right side
    20,298x = 1,750,920,336
  5. Step 5: Solve for x
    x = 1,750,920,336/20,298
  6. Step 6: Final answer
    x = 86,260.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.