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Finding the Third Proportional to 25,954 and 50,489

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Solution

The third proportional to 25,954 and 50,489 is: 98,217.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,954 : 50,489 = 50,489 : x
  2. Step 2: Convert to fraction form
    25,954/50,489 = 50,489/x
  3. Step 3: Cross multiply
    25,954x = 50,489 × 50,489
  4. Step 4: Simplify right side
    25,954x = 2,549,139,121
  5. Step 5: Solve for x
    x = 2,549,139,121/25,954
  6. Step 6: Final answer
    x = 98,217.58

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.