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Finding the Third Proportional to 23,109 and 48,262.50

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Solution

The third proportional to 23,109 and 48,262.50 is: 100,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,109 : 48,262.50 = 48,262.50 : x
  2. Step 2: Convert to fraction form
    23,109/48,262.50 = 48,262.50/x
  3. Step 3: Cross multiply
    23,109x = 48,262.50 × 48,262.50
  4. Step 4: Simplify right side
    23,109x = 2,329,268,906.25
  5. Step 5: Solve for x
    x = 2,329,268,906.25/23,109
  6. Step 6: Final answer
    x = 100,794.88

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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.