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Finding the Third Proportional to 21,204 and 49,516

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Solution

The third proportional to 21,204 and 49,516 is: 115,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,204 : 49,516 = 49,516 : x
  2. Step 2: Convert to fraction form
    21,204/49,516 = 49,516/x
  3. Step 3: Cross multiply
    21,204x = 49,516 × 49,516
  4. Step 4: Simplify right side
    21,204x = 2,451,834,256
  5. Step 5: Solve for x
    x = 2,451,834,256/21,204
  6. Step 6: Final answer
    x = 115,630.74

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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.