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Finding the Third Proportional to 23,816 and 51,200

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Solution

The third proportional to 23,816 and 51,200 is: 110,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816 : 51,200 = 51,200 : x
  2. Step 2: Convert to fraction form
    23,816/51,200 = 51,200/x
  3. Step 3: Cross multiply
    23,816x = 51,200 × 51,200
  4. Step 4: Simplify right side
    23,816x = 2,621,440,000
  5. Step 5: Solve for x
    x = 2,621,440,000/23,816
  6. Step 6: Final answer
    x = 110,070.54

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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.