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Finding the Third Proportional to 3,972.48 and 7,765.56

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Solution

The third proportional to 3,972.48 and 7,765.56 is: 15,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.48 : 7,765.56 = 7,765.56 : x
  2. Step 2: Convert to fraction form
    3,972.48/7,765.56 = 7,765.56/x
  3. Step 3: Cross multiply
    3,972.48x = 7,765.56 × 7,765.56
  4. Step 4: Simplify right side
    3,972.48x = 60,303,900.27
  5. Step 5: Solve for x
    x = 60,303,900.27/3,972.48
  6. Step 6: Final answer
    x = 15,180.41

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.