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Finding the Third Proportional to 23,623.50 and 50,405.25

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Solution

The third proportional to 23,623.50 and 50,405.25 is: 107,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,623.50 : 50,405.25 = 50,405.25 : x
  2. Step 2: Convert to fraction form
    23,623.50/50,405.25 = 50,405.25/x
  3. Step 3: Cross multiply
    23,623.50x = 50,405.25 × 50,405.25
  4. Step 4: Simplify right side
    23,623.50x = 2,540,689,227.56
  5. Step 5: Solve for x
    x = 2,540,689,227.56/23,623.50
  6. Step 6: Final answer
    x = 107,549.23

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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.