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Finding the Third Proportional to 26,320 and 50,215

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Solution

The third proportional to 26,320 and 50,215 is: 95,803.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,320 : 50,215 = 50,215 : x
  2. Step 2: Convert to fraction form
    26,320/50,215 = 50,215/x
  3. Step 3: Cross multiply
    26,320x = 50,215 × 50,215
  4. Step 4: Simplify right side
    26,320x = 2,521,546,225
  5. Step 5: Solve for x
    x = 2,521,546,225/26,320
  6. Step 6: Final answer
    x = 95,803.43

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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.