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Finding the Third Proportional to 9,446.63 and 19,917.56

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Solution

The third proportional to 9,446.63 and 19,917.56 is: 41,994.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.63 : 19,917.56 = 19,917.56 : x
  2. Step 2: Convert to fraction form
    9,446.63/19,917.56 = 19,917.56/x
  3. Step 3: Cross multiply
    9,446.63x = 19,917.56 × 19,917.56
  4. Step 4: Simplify right side
    9,446.63x = 396,709,295.94
  5. Step 5: Solve for x
    x = 396,709,295.94/9,446.63
  6. Step 6: Final answer
    x = 41,994.82

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.