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Finding the Third Proportional to 23,704 and 50,323

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Solution

The third proportional to 23,704 and 50,323 is: 106,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704 : 50,323 = 50,323 : x
  2. Step 2: Convert to fraction form
    23,704/50,323 = 50,323/x
  3. Step 3: Cross multiply
    23,704x = 50,323 × 50,323
  4. Step 4: Simplify right side
    23,704x = 2,532,404,329
  5. Step 5: Solve for x
    x = 2,532,404,329/23,704
  6. Step 6: Final answer
    x = 106,834.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.