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Finding the Third Proportional to 23,800 and 51,280

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Solution

The third proportional to 23,800 and 51,280 is: 110,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,800 : 51,280 = 51,280 : x
  2. Step 2: Convert to fraction form
    23,800/51,280 = 51,280/x
  3. Step 3: Cross multiply
    23,800x = 51,280 × 51,280
  4. Step 4: Simplify right side
    23,800x = 2,629,638,400
  5. Step 5: Solve for x
    x = 2,629,638,400/23,800
  6. Step 6: Final answer
    x = 110,489.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.