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Finding the Third Proportional to 21,330 and 49,847

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Solution

The third proportional to 21,330 and 49,847 is: 116,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,330 : 49,847 = 49,847 : x
  2. Step 2: Convert to fraction form
    21,330/49,847 = 49,847/x
  3. Step 3: Cross multiply
    21,330x = 49,847 × 49,847
  4. Step 4: Simplify right side
    21,330x = 2,484,723,409
  5. Step 5: Solve for x
    x = 2,484,723,409/21,330
  6. Step 6: Final answer
    x = 116,489.61

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.