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Finding the Third Proportional to 25,256 and 54,880

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Solution

The third proportional to 25,256 and 54,880 is: 119,251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,256 : 54,880 = 54,880 : x
  2. Step 2: Convert to fraction form
    25,256/54,880 = 54,880/x
  3. Step 3: Cross multiply
    25,256x = 54,880 × 54,880
  4. Step 4: Simplify right side
    25,256x = 3,011,814,400
  5. Step 5: Solve for x
    x = 3,011,814,400/25,256
  6. Step 6: Final answer
    x = 119,251.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.