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Finding the Third Proportional to 23,821.31 and 50,806.13

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Solution

The third proportional to 23,821.31 and 50,806.13 is: 108,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.31 : 50,806.13 = 50,806.13 : x
  2. Step 2: Convert to fraction form
    23,821.31/50,806.13 = 50,806.13/x
  3. Step 3: Cross multiply
    23,821.31x = 50,806.13 × 50,806.13
  4. Step 4: Simplify right side
    23,821.31x = 2,581,262,337.52
  5. Step 5: Solve for x
    x = 2,581,262,337.52/23,821.31
  6. Step 6: Final answer
    x = 108,359.37

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.