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Finding the Third Proportional to 12,399.75 and 25,825.50

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Solution

The third proportional to 12,399.75 and 25,825.50 is: 53,787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,399.75 : 25,825.50 = 25,825.50 : x
  2. Step 2: Convert to fraction form
    12,399.75/25,825.50 = 25,825.50/x
  3. Step 3: Cross multiply
    12,399.75x = 25,825.50 × 25,825.50
  4. Step 4: Simplify right side
    12,399.75x = 666,956,450.25
  5. Step 5: Solve for x
    x = 666,956,450.25/12,399.75
  6. Step 6: Final answer
    x = 53,787.89

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.