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Finding the Third Proportional to 24,731 and 50,326

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Solution

The third proportional to 24,731 and 50,326 is: 102,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,731 : 50,326 = 50,326 : x
  2. Step 2: Convert to fraction form
    24,731/50,326 = 50,326/x
  3. Step 3: Cross multiply
    24,731x = 50,326 × 50,326
  4. Step 4: Simplify right side
    24,731x = 2,532,706,276
  5. Step 5: Solve for x
    x = 2,532,706,276/24,731
  6. Step 6: Final answer
    x = 102,410.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.