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Finding the Third Proportional to 23,821.88 and 50,809.50

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Solution

The third proportional to 23,821.88 and 50,809.50 is: 108,371.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.88 : 50,809.50 = 50,809.50 : x
  2. Step 2: Convert to fraction form
    23,821.88/50,809.50 = 50,809.50/x
  3. Step 3: Cross multiply
    23,821.88x = 50,809.50 × 50,809.50
  4. Step 4: Simplify right side
    23,821.88x = 2,581,605,290.25
  5. Step 5: Solve for x
    x = 2,581,605,290.25/23,821.88
  6. Step 6: Final answer
    x = 108,371.20

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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.