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Finding the Third Proportional to 23,724 and 50,697

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Solution

The third proportional to 23,724 and 50,697 is: 108,336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724 : 50,697 = 50,697 : x
  2. Step 2: Convert to fraction form
    23,724/50,697 = 50,697/x
  3. Step 3: Cross multiply
    23,724x = 50,697 × 50,697
  4. Step 4: Simplify right side
    23,724x = 2,570,185,809
  5. Step 5: Solve for x
    x = 2,570,185,809/23,724
  6. Step 6: Final answer
    x = 108,336.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.