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Finding the Third Proportional to 23,844 and 50,770.50

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Solution

The third proportional to 23,844 and 50,770.50 is: 108,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,844 : 50,770.50 = 50,770.50 : x
  2. Step 2: Convert to fraction form
    23,844/50,770.50 = 50,770.50/x
  3. Step 3: Cross multiply
    23,844x = 50,770.50 × 50,770.50
  4. Step 4: Simplify right side
    23,844x = 2,577,643,670.25
  5. Step 5: Solve for x
    x = 2,577,643,670.25/23,844
  6. Step 6: Final answer
    x = 108,104.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.