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Finding the Third Proportional to 26,319 and 50,212

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Solution

The third proportional to 26,319 and 50,212 is: 95,795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,319 : 50,212 = 50,212 : x
  2. Step 2: Convert to fraction form
    26,319/50,212 = 50,212/x
  3. Step 3: Cross multiply
    26,319x = 50,212 × 50,212
  4. Step 4: Simplify right side
    26,319x = 2,521,244,944
  5. Step 5: Solve for x
    x = 2,521,244,944/26,319
  6. Step 6: Final answer
    x = 95,795.62

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.