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Finding the Third Proportional to 23,563.97 and 50,501.11

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Solution

The third proportional to 23,563.97 and 50,501.11 is: 108,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.97 : 50,501.11 = 50,501.11 : x
  2. Step 2: Convert to fraction form
    23,563.97/50,501.11 = 50,501.11/x
  3. Step 3: Cross multiply
    23,563.97x = 50,501.11 × 50,501.11
  4. Step 4: Simplify right side
    23,563.97x = 2,550,362,048.11
  5. Step 5: Solve for x
    x = 2,550,362,048.11/23,563.97
  6. Step 6: Final answer
    x = 108,231.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.