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Finding the Third Proportional to 21,336 and 49,839

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Solution

The third proportional to 21,336 and 49,839 is: 116,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,336 : 49,839 = 49,839 : x
  2. Step 2: Convert to fraction form
    21,336/49,839 = 49,839/x
  3. Step 3: Cross multiply
    21,336x = 49,839 × 49,839
  4. Step 4: Simplify right side
    21,336x = 2,483,925,921
  5. Step 5: Solve for x
    x = 2,483,925,921/21,336
  6. Step 6: Final answer
    x = 116,419.48

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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.