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Finding the Third Proportional to 23,957 and 50,396.50

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Solution

The third proportional to 23,957 and 50,396.50 is: 106,015.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,957 : 50,396.50 = 50,396.50 : x
  2. Step 2: Convert to fraction form
    23,957/50,396.50 = 50,396.50/x
  3. Step 3: Cross multiply
    23,957x = 50,396.50 × 50,396.50
  4. Step 4: Simplify right side
    23,957x = 2,539,807,212.25
  5. Step 5: Solve for x
    x = 2,539,807,212.25/23,957
  6. Step 6: Final answer
    x = 106,015.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.