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Finding the Third Proportional to 8,216.44 and 12,141.56

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Solution

The third proportional to 8,216.44 and 12,141.56 is: 17,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.44 : 12,141.56 = 12,141.56 : x
  2. Step 2: Convert to fraction form
    8,216.44/12,141.56 = 12,141.56/x
  3. Step 3: Cross multiply
    8,216.44x = 12,141.56 × 12,141.56
  4. Step 4: Simplify right side
    8,216.44x = 147,417,539.94
  5. Step 5: Solve for x
    x = 147,417,539.94/8,216.44
  6. Step 6: Final answer
    x = 17,941.78

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.