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Finding the Third Proportional to 13,380.75 and 23,821.88

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Solution

The third proportional to 13,380.75 and 23,821.88 is: 42,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.75 : 23,821.88 = 23,821.88 : x
  2. Step 2: Convert to fraction form
    13,380.75/23,821.88 = 23,821.88/x
  3. Step 3: Cross multiply
    13,380.75x = 23,821.88 × 23,821.88
  4. Step 4: Simplify right side
    13,380.75x = 567,481,728.52
  5. Step 5: Solve for x
    x = 567,481,728.52/13,380.75
  6. Step 6: Final answer
    x = 42,410.31

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.