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Finding the Third Proportional to 23,975 and 49,861

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Solution

The third proportional to 23,975 and 49,861 is: 103,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,975 : 49,861 = 49,861 : x
  2. Step 2: Convert to fraction form
    23,975/49,861 = 49,861/x
  3. Step 3: Cross multiply
    23,975x = 49,861 × 49,861
  4. Step 4: Simplify right side
    23,975x = 2,486,119,321
  5. Step 5: Solve for x
    x = 2,486,119,321/23,975
  6. Step 6: Final answer
    x = 103,696.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.