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Finding the Third Proportional to 4,453.94 and 9,796.56

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Solution

The third proportional to 4,453.94 and 9,796.56 is: 21,547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,453.94 : 9,796.56 = 9,796.56 : x
  2. Step 2: Convert to fraction form
    4,453.94/9,796.56 = 9,796.56/x
  3. Step 3: Cross multiply
    4,453.94x = 9,796.56 × 9,796.56
  4. Step 4: Simplify right side
    4,453.94x = 95,972,636.82
  5. Step 5: Solve for x
    x = 95,972,636.82/4,453.94
  6. Step 6: Final answer
    x = 21,547.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.