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Finding the Third Proportional to 23,032 and 48,150

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Solution

The third proportional to 23,032 and 48,150 is: 100,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,032 : 48,150 = 48,150 : x
  2. Step 2: Convert to fraction form
    23,032/48,150 = 48,150/x
  3. Step 3: Cross multiply
    23,032x = 48,150 × 48,150
  4. Step 4: Simplify right side
    23,032x = 2,318,422,500
  5. Step 5: Solve for x
    x = 2,318,422,500/23,032
  6. Step 6: Final answer
    x = 100,660.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.